393494371142400 has 1296 divisors, whose sum is σ = 1572970027224960. Its totient is φ = 93017825280000.

The previous prime is 393494371142357. The next prime is 393494371142407. The reversal of 393494371142400 is 4241173494393.

393494371142400 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 94 + 3 + 7 + 1 + 142 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (393494371142407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90687799431 + ... + 90687803769.

It is an arithmetic number, because the mean of its divisors is an integer number (1213711440760).

Almost surely, 2^{393494371142400} is an apocalyptic number.

393494371142400 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 393494371142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786485013612480).

393494371142400 is an abundant number, since it is smaller than the sum of its proper divisors (1179475656082560).

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

393494371142400 is a wasteful number, since it uses less digits than its factorization.

393494371142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 393494371142400 in words is "three hundred ninety-three trillion, four hundred ninety-four billion, three hundred seventy-one million, one hundred forty-two thousand, four hundred".