394079063414400 has 5184 divisors, whose sum is σ = 1934125875208800. Its totient is φ = 78745772851200.

The previous prime is 394079063414357. The next prime is 394079063414459. The reversal of 394079063414400 is 4414360970493.

394079063414400 is a `hidden beast` number, since 3 + 9 + 40 + 7 + 90 + 63 + 414 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×394079063414400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 122346804790 + ... + 122346808010.

Almost surely, 2^{394079063414400} is an apocalyptic number.

394079063414400 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 394079063414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967062937604400).

394079063414400 is an abundant number, since it is smaller than the sum of its proper divisors (1540046811794400).

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

394079063414400 is a wasteful number, since it uses less digits than its factorization.

394079063414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3270 counting only the distinct ones).

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

The spelling of 394079063414400 in words is "three hundred ninety-four trillion, seventy-nine billion, sixty-three million, four hundred fourteen thousand, four hundred".