400198656000 has 896 divisors, whose sum is σ = 1566325942272. Its totient is φ = 89456640000.

The previous prime is 400198655971. The next prime is 400198656037. The reversal of 400198656000 is 656891004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 400198656000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439295545 + ... + 439296455.

It is an arithmetic number, because the mean of its divisors is an integer number (1748131632).

Almost surely, 2^400198656000 is an apocalyptic number.

400198656000 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 400198656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783162971136).

400198656000 is an abundant number, since it is smaller than the sum of its proper divisors (1166127286272).

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

400198656000 is a wasteful number, since it uses less digits than its factorization.

400198656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 400198656000 in words is "four hundred billion, one hundred ninety-eight million, six hundred fifty-six thousand".