390534094604160 has 1280 divisors, whose sum is σ = 1532894741199360. Its totient is φ = 94157057359872.

The previous prime is 390534094604077. The next prime is 390534094604183. The reversal of 390534094604160 is 61406490435093.

It is a happy number.

390534094604160 is a `hidden beast` number, since 3 + 9 + 0 + 534 + 0 + 9 + 4 + 6 + 0 + 41 + 60 = 666.

It is a super-3 number, since 3×390534094604160³ (a number of 45 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 390534094604097 and 390534094604106.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 21680671314 + ... + 21680689326.

It is an arithmetic number, because the mean of its divisors is an integer number (1197574016562).

Almost surely, 2^{390534094604160} is an apocalyptic number.

390534094604160 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 390534094604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766447370599680).

390534094604160 is an abundant number, since it is smaller than the sum of its proper divisors (1142360646595200).

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

390534094604160 is a wasteful number, since it uses less digits than its factorization.

390534094604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18717 (or 18696 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 390534094604160 in words is "three hundred ninety trillion, five hundred thirty-four billion, ninety-four million, six hundred four thousand, one hundred sixty".