390529356576480 has 1728 divisors, whose sum is σ = 1630214055288000. Its totient is φ = 84256346603520.

The previous prime is 390529356576473. The next prime is 390529356576533. The reversal of 390529356576480 is 84675653925093.

390529356576480 is a `hidden beast` number, since 3 + 9 + 0 + 5 + 2 + 9 + 3 + 5 + 6 + 576 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 390529356576399 and 390529356576408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6135639696 + ... + 6135703344.

It is an arithmetic number, because the mean of its divisors is an integer number (943410911625).

Almost surely, 2^{390529356576480} is an apocalyptic number.

390529356576480 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 390529356576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815107027644000).

390529356576480 is an abundant number, since it is smaller than the sum of its proper divisors (1239684698711520).

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

390529356576480 is a wasteful number, since it uses less digits than its factorization.

390529356576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63785 (or 63755 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 390529356576480 in words is "three hundred ninety trillion, five hundred twenty-nine billion, three hundred fifty-six million, five hundred seventy-six thousand, four hundred eighty".