390928009572072 has 480 divisors, whose sum is σ = 1308020133024000. Its totient is φ = 108726585327360.

The previous prime is 390928009571971. The next prime is 390928009572077. The reversal of 390928009572072 is 270275900829093.

390928009572072 is a `hidden beast` number, since 39 + 0 + 9 + 28 + 0 + 0 + 9 + 572 + 0 + 7 + 2 = 666.

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 (390928009572077) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 176999454 + ... + 179194482.

It is an arithmetic number, because the mean of its divisors is an integer number (2725041943800).

Almost surely, 2^{390928009572072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390928009572072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654010066512000).

390928009572072 is an abundant number, since it is smaller than the sum of its proper divisors (917092123451928).

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

390928009572072 is a wasteful number, since it uses less digits than its factorization.

390928009572072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195211 (or 2195191 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 390928009572072 in words is "three hundred ninety trillion, nine hundred twenty-eight billion, nine million, five hundred seventy-two thousand, seventy-two".