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401407491072 = 2103720279209
BaseRepresentation
bin1011101011101011100…
…00000011110000000000
31102101002210000022202210
411311311300003300000
523034040304203242
6504223135342120
741000152243350
oct5656560036000
91371083008683
10401407491072
11145266078265
1265966681940
132bb111106b3
14155dd0a4b60
15a69526cd9c
hex5d75c03c00

401407491072 has 176 divisors, whose sum is σ = 1223475851520. Its totient is φ = 114618826752.

The previous prime is 401407491031. The next prime is 401407491073. The reversal of 401407491072 is 270194704104.

It is a super-2 number, since 2×4014074910722 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401407491072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401407491073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43584004 + ... + 43593212.

Almost surely, 2401407491072 is an apocalyptic number.

401407491072 is a gapful number since it is divisible by the number (42) 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 401407491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611737925760).

401407491072 is an abundant number, since it is smaller than the sum of its proper divisors (822068360448).

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

401407491072 is a wasteful number, since it uses less digits than its factorization.

401407491072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266 (or 11248 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 401407491072 in words is "four hundred one billion, four hundred seven million, four hundred ninety-one thousand, seventy-two".