400926898944 has 864 divisors, whose sum is σ = 1469508977664. Its totient is φ = 103236894720.

The previous prime is 400926898919. The next prime is 400926899027. The reversal of 400926898944 is 449898629004.

400926898944 is a `hidden beast` number, since 400 + 92 + 68 + 9 + 89 + 4 + 4 = 666.

It is a super-3 number, since 3×400926898944³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263247367 + ... + 263248889.

It is an arithmetic number, because the mean of its divisors is an integer number (1700820576).

Almost surely, 2^400926898944 is an apocalyptic number.

400926898944 is a gapful number since it is divisible by the number (44) 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 400926898944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734754488832).

400926898944 is an abundant number, since it is smaller than the sum of its proper divisors (1068582078720).

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

400926898944 is a wasteful number, since it uses less digits than its factorization.

400926898944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 400926898944 in words is "four hundred billion, nine hundred twenty-six million, eight hundred ninety-eight thousand, nine hundred forty-four".