401701248576 has 84 divisors (see below), whose sum is σ = 1151509319532. Its totient is φ = 133888180224.

The previous prime is 401701248551. The next prime is 401701248577. The reversal of 401701248576 is 675842107104.

401701248576 is a `hidden beast` number, since 4 + 0 + 1 + 70 + 1 + 2 + 4 + 8 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18322329600 + 383378918976 = 135360^2 + 619176^2 .

It is a super-2 number, since 2×401701248576² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401701248577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8058160 + ... + 8107856.

Almost surely, 2^401701248576 is an apocalyptic number.

It is an amenable number.

401701248576 is an abundant number, since it is smaller than the sum of its proper divisors (749808070956).

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

401701248576 is a wasteful number, since it uses less digits than its factorization.

401701248576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63748 (or 63735 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 401701248576 in words is "four hundred one billion, seven hundred one million, two hundred forty-eight thousand, five hundred seventy-six".