396213736744800 has 576 divisors, whose sum is σ = 1559111111127360. Its totient is φ = 96524069437440.

The previous prime is 396213736744769. The next prime is 396213736744807. The reversal of 396213736744800 is 8447637312693.

It is a happy number.

396213736744800 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 13 + 73 + 6 + 74 + 480 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396213736744807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19964314 + ... + 34510886.

It is an arithmetic number, because the mean of its divisors is an integer number (2706790123485).

Almost surely, 2^{396213736744800} is an apocalyptic number.

396213736744800 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 396213736744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779555555563680).

396213736744800 is an abundant number, since it is smaller than the sum of its proper divisors (1162897374382560).

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

396213736744800 is a wasteful number, since it uses less digits than its factorization.

396213736744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546712 (or 14546693 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 396213736744800 in words is "three hundred ninety-six trillion, two hundred thirteen billion, seven hundred thirty-six million, seven hundred forty-four thousand, eight hundred".