394416158976 has 360 divisors, whose sum is σ = 1423161653760. Its totient is φ = 106060824576.

The previous prime is 394416158947. The next prime is 394416158977. The reversal of 394416158976 is 679851614493.

394416158976 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 1 + 615 + 8 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×394416158976² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (394416158977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2387665 + ... + 2547503.

It is an arithmetic number, because the mean of its divisors is an integer number (3953226816).

Almost surely, 2^394416158976 is an apocalyptic number.

394416158976 is a gapful number since it is divisible by the number (36) 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 394416158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711580826880).

394416158976 is an abundant number, since it is smaller than the sum of its proper divisors (1028745494784).

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

394416158976 is a wasteful number, since it uses less digits than its factorization.

394416158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159891 (or 159868 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 394416158976 in words is "three hundred ninety-four billion, four hundred sixteen million, one hundred fifty-eight thousand, nine hundred seventy-six".