400320194347008 has 510 divisors, whose sum is σ = 1295089823812884. Its totient is φ = 123175168376832.

The previous prime is 400320194346977. The next prime is 400320194347069. The reversal of 400320194347008 is 800743491023004.

400320194347008 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 201 + 9 + 434 + 7 + 0 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 896899191 + ... + 897345417.

Almost surely, 2^{400320194347008} is an apocalyptic number.

400320194347008 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 400320194347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647544911906442).

400320194347008 is an abundant number, since it is smaller than the sum of its proper divisors (894769629465876).

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

400320194347008 is an frugal number, since it uses more digits than its factorization.

400320194347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446297 (or 446245 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 400320194347008 in words is "four hundred trillion, three hundred twenty billion, one hundred ninety-four million, three hundred forty-seven thousand, eight".