396168950661120 has 3360 divisors, whose sum is σ = 1767497402926080. Its totient is φ = 82969268060160.

The previous prime is 396168950660993. The next prime is 396168950661137. The reversal of 396168950661120 is 21166059861693.

396168950661120 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 6 + 8 + 9 + 5 + 0 + 6 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 223 ways as a sum of consecutive naturals, for example, 1461878046585 + ... + 1461878046855.

It is an arithmetic number, because the mean of its divisors is an integer number (526040893728).

Almost surely, 2^{396168950661120} is an apocalyptic number.

396168950661120 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 396168950661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883748701463040).

396168950661120 is an abundant number, since it is smaller than the sum of its proper divisors (1371328452264960).

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

396168950661120 is an equidigital number, since it uses as much as digits as its factorization.

396168950661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 396168950661120 in words is "three hundred ninety-six trillion, one hundred sixty-eight billion, nine hundred fifty million, six hundred sixty-one thousand, one hundred twenty".