400198385664 has 960 divisors, whose sum is σ = 1530035404800. Its totient is φ = 100329062400.

The previous prime is 400198385663. The next prime is 400198385681. The reversal of 400198385664 is 466583891004.

400198385664 is a `hidden beast` number, since 40 + 0 + 1 + 9 + 8 + 38 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 400198385664.

It is not an unprimeable number, because it can be changed into a prime (400198385663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055932227 + ... + 1055932605.

It is an arithmetic number, because the mean of its divisors is an integer number (1593786880).

Almost surely, 2^400198385664 is an apocalyptic number.

400198385664 is a gapful number since it is divisible by the number (44) 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 400198385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765017702400).

400198385664 is an abundant number, since it is smaller than the sum of its proper divisors (1129837019136).

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

400198385664 is a wasteful number, since it uses less digits than its factorization.

400198385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 400198385664 in words is "four hundred billion, one hundred ninety-eight million, three hundred eighty-five thousand, six hundred sixty-four".