396444137443200 has 1920 divisors, whose sum is σ = 1847053088179200. Its totient is φ = 81334919577600.

The previous prime is 396444137443199. The next prime is 396444137443229. The reversal of 396444137443200 is 2344731444693.

396444137443200 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 44 + 137 + 443 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×396444137443200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1576587882 + ... + 1576839318.

It is an arithmetic number, because the mean of its divisors is an integer number (962006816760).

Almost surely, 2^{396444137443200} is an apocalyptic number.

396444137443200 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 396444137443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923526544089600).

396444137443200 is an abundant number, since it is smaller than the sum of its proper divisors (1450608950736000).

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

396444137443200 is a wasteful number, since it uses less digits than its factorization.

396444137443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251570 (or 251544 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

Adding to 396444137443200 its reverse (2344731444693), we get a palindrome (398788868887893).

The spelling of 396444137443200 in words is "three hundred ninety-six trillion, four hundred forty-four billion, one hundred thirty-seven million, four hundred forty-three thousand, two hundred".