400126714220800 has 432 divisors, whose sum is σ = 1202219639268480. Its totient is φ = 128709134254080.

The previous prime is 400126714220771. The next prime is 400126714220837. The reversal of 400126714220800 is 8022417621004.

It is a self number, because there is not a number n which added to its sum of digits gives 400126714220800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240598531 + ... + 242255869.

It is an arithmetic number, because the mean of its divisors is an integer number (2782915831640).

Almost surely, 2^{400126714220800} is an apocalyptic number.

400126714220800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400126714220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601109819634240).

400126714220800 is an abundant number, since it is smaller than the sum of its proper divisors (802092925047680).

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

400126714220800 is a wasteful number, since it uses less digits than its factorization.

400126714220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657706 (or 1657687 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 400126714220800 in words is "four hundred trillion, one hundred twenty-six billion, seven hundred fourteen million, two hundred twenty thousand, eight hundred".