396416702457720 has 384 divisors, whose sum is σ = 1496829127697280. Its totient is φ = 89107070976000.

The previous prime is 396416702457719. The next prime is 396416702457731. The reversal of 396416702457720 is 27754207614693.

396416702457720 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 16 + 7 + 0 + 24 + 577 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811551160 + ... + 812039480.

It is an arithmetic number, because the mean of its divisors is an integer number (3897992520045).

Almost surely, 2^{396416702457720} is an apocalyptic number.

396416702457720 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 396416702457720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748414563848640).

396416702457720 is an abundant number, since it is smaller than the sum of its proper divisors (1100412425239560).

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

396416702457720 is a wasteful number, since it uses less digits than its factorization.

396416702457720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493687 (or 493680 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 396416702457720 in words is "three hundred ninety-six trillion, four hundred sixteen billion, seven hundred two million, four hundred fifty-seven thousand, seven hundred twenty".