400072181126496 has 96 divisors (see below), whose sum is σ = 1093439982299616. Its totient is φ = 127971909120000.

The previous prime is 400072181126417. The next prime is 400072181126509. The reversal of 400072181126496 is 694621181270004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×400072181126496² (a number of 30 digits) contains 22 as substring.

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, 832910355 + ... + 833390546.

It is an arithmetic number, because the mean of its divisors is an integer number (11389999815621).

Almost surely, 2^{400072181126496} is an apocalyptic number.

It is an amenable number.

400072181126496 is an abundant number, since it is smaller than the sum of its proper divisors (693367801173120).

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

400072181126496 is a wasteful number, since it uses less digits than its factorization.

400072181126496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666301016 (or 1666301008 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 400072181126496 in words is "four hundred trillion, seventy-two billion, one hundred eighty-one million, one hundred twenty-six thousand, four hundred ninety-six".