390018478080 has 832 divisors, whose sum is σ = 1638095155200. Its totient is φ = 76759695360.

The previous prime is 390018478063. The next prime is 390018478097. The reversal of 390018478080 is 80874810093.

It is an interprime number because it is at equal distance from previous prime (390018478063) and next prime (390018478097).

It is a super-2 number, since 2×390018478080² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 89884551 + ... + 89888889.

Almost surely, 2^390018478080 is an apocalyptic number.

390018478080 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 390018478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819047577600).

390018478080 is an abundant number, since it is smaller than the sum of its proper divisors (1248076677120).

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

390018478080 is a wasteful number, since it uses less digits than its factorization.

390018478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 390018478080 in words is "three hundred ninety billion, eighteen million, four hundred seventy-eight thousand, eighty".