400064707504056 has 64 divisors (see below), whose sum is σ = 1145072291731200. Its totient is φ = 114101175115008.

The previous prime is 400064707504039. The next prime is 400064707504081. The reversal of 400064707504056 is 650405707460004.

It is a super-3 number, since 3×400064707504056³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 400064707503996 and 400064707504014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114770021 + ... + 2114959188.

It is an arithmetic number, because the mean of its divisors is an integer number (17891754558300).

Almost surely, 2^{400064707504056} is an apocalyptic number.

It is an amenable number.

400064707504056 is an abundant number, since it is smaller than the sum of its proper divisors (745007584227144).

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

400064707504056 is a wasteful number, since it uses less digits than its factorization.

400064707504056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229729788 (or 4229729784 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 400064707504056 in words is "four hundred trillion, sixty-four billion, seven hundred seven million, five hundred four thousand, fifty-six".