394241971200 has 1056 divisors, whose sum is σ = 1638469893120. Its totient is φ = 81218764800.

The previous prime is 394241971181. The next prime is 394241971261. The reversal of 394241971200 is 2179142493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 963916596 + ... + 963917004.

Almost surely, 2^394241971200 is an apocalyptic number.

394241971200 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 394241971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819234946560).

394241971200 is an abundant number, since it is smaller than the sum of its proper divisors (1244227921920).

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

394241971200 is a wasteful number, since it uses less digits than its factorization.

394241971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 394241971200 in words is "three hundred ninety-four billion, two hundred forty-one million, nine hundred seventy-one thousand, two hundred".