390311274240 has 576 divisors, whose sum is σ = 1478367313920. Its totient is φ = 97170554880.

The previous prime is 390311274233. The next prime is 390311274271. The reversal of 390311274240 is 42472113093.

It is a happy number.

390311274240 is a `hidden beast` number, since 39 + 0 + 311 + 2 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 390311274195 and 390311274204.

It is a congruent number.

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, 74612425 + ... + 74617655.

It is an arithmetic number, because the mean of its divisors is an integer number (2566609920).

Almost surely, 2^390311274240 is an apocalyptic number.

390311274240 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 390311274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739183656960).

390311274240 is an abundant number, since it is smaller than the sum of its proper divisors (1088056039680).

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

390311274240 is a wasteful number, since it uses less digits than its factorization.

390311274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 390311274240 in words is "three hundred ninety billion, three hundred eleven million, two hundred seventy-four thousand, two hundred forty".