401376744572265 has 192 divisors, whose sum is σ = 935742339297792. Its totient is φ = 154031658393600.

The previous prime is 401376744572233. The next prime is 401376744572387. The reversal of 401376744572265 is 562275447673104.

401376744572265 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 67 + 445 + 72 + 2 + 65 = 666.

It is not a de Polignac number, because 401376744572265 - 2⁵ = 401376744572233 is a prime.

It is a super-2 number, since 2×401376744572265² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61160746 + ... + 67404675.

It is an arithmetic number, because the mean of its divisors is an integer number (4873658017176).

Almost surely, 2^{401376744572265} is an apocalyptic number.

401376744572265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401376744572265 is an abundant number, since it is smaller than the sum of its proper divisors (534365594725527).

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

401376744572265 is a wasteful number, since it uses less digits than its factorization.

401376744572265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128565520 (or 128565517 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 401376744572265 in words is "four hundred one trillion, three hundred seventy-six billion, seven hundred forty-four million, five hundred seventy-two thousand, two hundred sixty-five".