396019872000 has 432 divisors, whose sum is σ = 1435539439152. Its totient is φ = 104824012800.

The previous prime is 396019871977. The next prime is 396019872089. The reversal of 396019872000 is 278910693.

396019872000 is a `hidden beast` number, since 39 + 601 + 9 + 8 + 7 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143501561856 + 252518310144 = 378816^2 + 502512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39450982 + ... + 39461018.

It is an arithmetic number, because the mean of its divisors is an integer number (3323007961).

Almost surely, 2^396019872000 is an apocalyptic number.

396019872000 is a gapful number since it is divisible by the number (30) 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 396019872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717769719576).

396019872000 is an abundant number, since it is smaller than the sum of its proper divisors (1039519567152).

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

396019872000 is a wasteful number, since it uses less digits than its factorization.

396019872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 396019872000 in words is "three hundred ninety-six billion, nineteen million, eight hundred seventy-two thousand".