390233303040 has 576 divisors, whose sum is σ = 1487925391680. Its totient is φ = 87006904320.

The previous prime is 390233303023. The next prime is 390233303041. The reversal of 390233303040 is 40303332093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 390233302989 and 390233303007.

It is not an unprimeable number, because it can be changed into a prime (390233303041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61713319 + ... + 61719641.

It is an arithmetic number, because the mean of its divisors is an integer number (2583203805).

Almost surely, 2^390233303040 is an apocalyptic number.

390233303040 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 390233303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743962695840).

390233303040 is an abundant number, since it is smaller than the sum of its proper divisors (1097692088640).

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

390233303040 is a wasteful number, since it uses less digits than its factorization.

390233303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

The spelling of 390233303040 in words is "three hundred ninety billion, two hundred thirty-three million, three hundred three thousand, forty".