398412940032 has 756 divisors, whose sum is σ = 1296287201160. Its totient is φ = 122098876416.

The previous prime is 398412940007. The next prime is 398412940039. The reversal of 398412940032 is 230049214893.

398412940032 is a `hidden beast` number, since 3 + 98 + 4 + 129 + 400 + 32 = 666.

It is a super-2 number, since 2×398412940032² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 398412940032.

It is not an unprimeable number, because it can be changed into a prime (398412940039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4476549844 + ... + 4476549932.

It is an arithmetic number, because the mean of its divisors is an integer number (1714665610).

Almost surely, 2^398412940032 is an apocalyptic number.

398412940032 is a gapful number since it is divisible by the number (32) 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 398412940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648143600580).

398412940032 is an abundant number, since it is smaller than the sum of its proper divisors (897874261128).

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

398412940032 is an frugal number, since it uses more digits than its factorization.

398412940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 398412940032 in words is "three hundred ninety-eight billion, four hundred twelve million, nine hundred forty thousand, thirty-two".