390694350240 has 576 divisors, whose sum is σ = 1459245715200. Its totient is φ = 98515574784.

The previous prime is 390694350187. The next prime is 390694350281. The reversal of 390694350240 is 42053496093.

390694350240 is a `hidden beast` number, since 3 + 9 + 0 + 69 + 43 + 502 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79584906 + ... + 79589814.

It is an arithmetic number, because the mean of its divisors is an integer number (2533412700).

Almost surely, 2^390694350240 is an apocalyptic number.

390694350240 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 390694350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729622857600).

390694350240 is an abundant number, since it is smaller than the sum of its proper divisors (1068551364960).

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

390694350240 is a wasteful number, since it uses less digits than its factorization.

390694350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 390694350240 in words is "three hundred ninety billion, six hundred ninety-four million, three hundred fifty thousand, two hundred forty".