390739415040 has 624 divisors, whose sum is σ = 1468340939520. Its totient is φ = 95539691520.

The previous prime is 390739415039. The next prime is 390739415051. The reversal of 390739415040 is 40514937093.

390739415040 is a `hidden beast` number, since 39 + 0 + 73 + 9 + 41 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428912185 + ... + 428913095.

It is an arithmetic number, because the mean of its divisors is an integer number (2353110480).

Almost surely, 2^390739415040 is an apocalyptic number.

390739415040 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 390739415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734170469760).

390739415040 is an abundant number, since it is smaller than the sum of its proper divisors (1077601524480).

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

390739415040 is a wasteful number, since it uses less digits than its factorization.

390739415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 390739415040 in words is "three hundred ninety billion, seven hundred thirty-nine million, four hundred fifteen thousand, forty".