394542096480000 has 2700 divisors, whose sum is σ = 1716191835811992. Its totient is φ = 89860700160000.

The previous prime is 394542096479953. The next prime is 394542096480013. The reversal of 394542096480000 is 84690245493.

394542096480000 is a `hidden beast` number, since 3 + 9 + 4 + 54 + 20 + 96 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 210198239062 + ... + 210198240938.

Almost surely, 2^{394542096480000} is an apocalyptic number.

394542096480000 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 394542096480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858095917905996).

394542096480000 is an abundant number, since it is smaller than the sum of its proper divisors (1321649739331992).

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

394542096480000 is an equidigital number, since it uses as much as digits as its factorization.

394542096480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 394542096480000 in words is "three hundred ninety-four trillion, five hundred forty-two billion, ninety-six million, four hundred eighty thousand".