400099071456 has 192 divisors, whose sum is σ = 1334019456000. Its totient is φ = 114283519488.

The previous prime is 400099071443. The next prime is 400099071457. The reversal of 400099071456 is 654170990004.

400099071456 is a `hidden beast` number, since 40 + 0 + 0 + 9 + 90 + 71 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400099071457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32647026 + ... + 32659278.

It is an arithmetic number, because the mean of its divisors is an integer number (6948018000).

Almost surely, 2^400099071456 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 400099071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667009728000).

400099071456 is an abundant number, since it is smaller than the sum of its proper divisors (933920384544).

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

400099071456 is a wasteful number, since it uses less digits than its factorization.

400099071456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17678 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 400099071456 in words is "four hundred billion, ninety-nine million, seventy-one thousand, four hundred fifty-six".