396396360000 has 840 divisors, whose sum is σ = 1504611245280. Its totient is φ = 99574272000.

The previous prime is 396396359993. The next prime is 396396360011. The reversal of 396396360000 is 63693693.

396396360000 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 9 + 636 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 448919559 + ... + 448920441.

Almost surely, 2^396396360000 is an apocalyptic number.

396396360000 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 396396360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752305622640).

396396360000 is an abundant number, since it is smaller than the sum of its proper divisors (1108214885280).

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

396396360000 is a wasteful number, since it uses less digits than its factorization.

396396360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 396396360000 in words is "three hundred ninety-six billion, three hundred ninety-six million, three hundred sixty thousand".