400450726656 has 432 divisors, whose sum is σ = 1213989224448. Its totient is φ = 126804787200.

The previous prime is 400450726651. The next prime is 400450726661. The reversal of 400450726656 is 656627054004.

It is an interprime number because it is at equal distance from previous prime (400450726651) and next prime (400450726661).

It is not an unprimeable number, because it can be changed into a prime (400450726651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1188280920 + ... + 1188281256.

Almost surely, 2^400450726656 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 400450726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606994612224).

400450726656 is an abundant number, since it is smaller than the sum of its proper divisors (813538497792).

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

400450726656 is a wasteful number, since it uses less digits than its factorization.

400450726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 400450726656 in words is "four hundred billion, four hundred fifty million, seven hundred twenty-six thousand, six hundred fifty-six".