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401263514678880 = 253257193122180179
BaseRepresentation
bin101101100111100100111000…
…1010000001111011001100000
31221121202102021021001012220100
41123033021301100033121200
5410043300134224211010
63541225525215342400
7150343221650330310
oct13317116120173140
91847672237035810
10401263514678880
111069449a0133037
1239007683221a00
13142b8caa79b689
147113387325440
15315cbb8dc82c0
hex16cf27140f660

401263514678880 has 864 divisors, whose sum is σ = 1702145710137600. Its totient is φ = 84087198074880.

The previous prime is 401263514678867. The next prime is 401263514678903. The reversal of 401263514678880 is 88876415362104.

401263514678880 is a `hidden beast` number, since 4 + 0 + 12 + 6 + 3 + 5 + 1 + 467 + 88 + 80 = 666.

It is a super-2 number, since 2×4012635146788802 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182960631 + ... + 185140809.

It is an arithmetic number, because the mean of its divisors is an integer number (1970076053400).

Almost surely, 2401263514678880 is an apocalyptic number.

401263514678880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401263514678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851072855068800).

401263514678880 is an abundant number, since it is smaller than the sum of its proper divisors (1300882195458720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401263514678880 is a wasteful number, since it uses less digits than its factorization.

401263514678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180288 (or 2180246 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 401263514678880 in words is "four hundred one trillion, two hundred sixty-three billion, five hundred fourteen million, six hundred seventy-eight thousand, eight hundred eighty".