400696090368 has 432 divisors, whose sum is σ = 1279313763840. Its totient is φ = 111257653248.

The previous prime is 400696090343. The next prime is 400696090411. The reversal of 400696090368 is 863090696004.

It is a self number, because there is not a number n which added to its sum of digits gives 400696090368.

It is a congruent number.

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, 477587293 + ... + 477588131.

Almost surely, 2^400696090368 is an apocalyptic number.

400696090368 is a gapful number since it is divisible by the number (48) 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 400696090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639656881920).

400696090368 is an abundant number, since it is smaller than the sum of its proper divisors (878617673472).

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

400696090368 is an frugal number, since it uses more digits than its factorization.

400696090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 400696090368 in words is "four hundred billion, six hundred ninety-six million, ninety thousand, three hundred sixty-eight".