401277460437504 has 960 divisors, whose sum is σ = 1455647068339200. Its totient is φ = 108527827968000.

The previous prime is 401277460437499. The next prime is 401277460437611. The reversal of 401277460437504 is 405734064772104.

401277460437504 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 7 + 74 + 60 + 4 + 3 + 7 + 504 = 666.

It is a super-2 number, since 2×401277460437504² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 16615343829 + ... + 16615367979.

It is an arithmetic number, because the mean of its divisors is an integer number (1516299029520).

Almost surely, 2^{401277460437504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401277460437504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727823534169600).

401277460437504 is an abundant number, since it is smaller than the sum of its proper divisors (1054369607901696).

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

401277460437504 is a wasteful number, since it uses less digits than its factorization.

401277460437504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25502 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 401277460437504 in words is "four hundred one trillion, two hundred seventy-seven billion, four hundred sixty million, four hundred thirty-seven thousand, five hundred four".