396141628615200 has 864 divisors, whose sum is σ = 1583770751559360. Its totient is φ = 92365194240000.

The previous prime is 396141628615189. The next prime is 396141628615211. The reversal of 396141628615200 is 2516826141693.

396141628615200 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 4 + 1 + 628 + 6 + 1 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396141628615189) and next prime (396141628615211).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15118165299 + ... + 15118191501.

It is an arithmetic number, because the mean of its divisors is an integer number (1833067999490).

Almost surely, 2^{396141628615200} is an apocalyptic number.

396141628615200 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 396141628615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791885375779680).

396141628615200 is an abundant number, since it is smaller than the sum of its proper divisors (1187629122944160).

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

396141628615200 is a wasteful number, since it uses less digits than its factorization.

396141628615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34762 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 396141628615200 in words is "three hundred ninety-six trillion, one hundred forty-one billion, six hundred twenty-eight million, six hundred fifteen thousand, two hundred".