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401286992040 = 2332511531072167
BaseRepresentation
bin1011101011011101001…
…00011001000010101000
31102100210101021100011200
411311232210121002220
523033313432221130
6504203152524200
740664160103254
oct5655644310250
91370711240150
10401286992040
11145204055590
1265932250660
132bac21705ac
14155cb099264
15a6898b9760
hex5d6e9190a8

401286992040 has 576 divisors, whose sum is σ = 1472025260160. Its totient is φ = 93987978240.

The previous prime is 401286992039. The next prime is 401286992053. The reversal of 401286992040 is 40299682104.

It is a super-2 number, since 2×4012869920402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2402916037 + ... + 2402916203.

It is an arithmetic number, because the mean of its divisors is an integer number (2555599410).

Almost surely, 2401286992040 is an apocalyptic number.

401286992040 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 401286992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736012630080).

401286992040 is an abundant number, since it is smaller than the sum of its proper divisors (1070738268120).

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

401286992040 is a wasteful number, since it uses less digits than its factorization.

401286992040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 401286992040 in words is "four hundred one billion, two hundred eighty-six million, nine hundred ninety-two thousand, forty".