390142902240 has 1920 divisors, whose sum is σ = 1863827159040. Its totient is φ = 74494328832.

The previous prime is 390142902203. The next prime is 390142902271. The reversal of 390142902240 is 42209241093.

390142902240 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 429 + 0 + 224 + 0 = 666.

It is a super-2 number, since 2×390142902240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 390142902195 and 390142902204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 515379942 + ... + 515380698.

It is an arithmetic number, because the mean of its divisors is an integer number (970743312).

Almost surely, 2^390142902240 is an apocalyptic number.

390142902240 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 390142902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931913579520).

390142902240 is an abundant number, since it is smaller than the sum of its proper divisors (1473684256800).

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

390142902240 is a wasteful number, since it uses less digits than its factorization.

390142902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 390142902240 in words is "three hundred ninety billion, one hundred forty-two million, nine hundred two thousand, two hundred forty".