400108397598000 has 4800 divisors, whose sum is σ = 1877616305615232. Its totient is φ = 78657984921600.

The previous prime is 400108397597999. The next prime is 400108397598029. The reversal of 400108397598000 is 895793801004.

400108397598000 is a `hidden beast` number, since 4 + 0 + 0 + 10 + 8 + 39 + 7 + 598 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1556842013872 + ... + 1556842014128.

Almost surely, 2^{400108397598000} is an apocalyptic number.

400108397598000 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 400108397598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938808152807616).

400108397598000 is an abundant number, since it is smaller than the sum of its proper divisors (1477507908017232).

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

400108397598000 is a wasteful number, since it uses less digits than its factorization.

400108397598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 400108397598000 in words is "four hundred trillion, one hundred eight billion, three hundred ninety-seven million, five hundred ninety-eight thousand".