390625079040 has 1080 divisors, whose sum is σ = 1635620884128. Its totient is φ = 87190732800.

The previous prime is 390625079029. The next prime is 390625079057. The reversal of 390625079040 is 40970526093.

It is a happy number.

390625079040 is a `hidden beast` number, since 390 + 6 + 250 + 7 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 3867574990 + ... + 3867575090.

Almost surely, 2^390625079040 is an apocalyptic number.

390625079040 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 390625079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817810442064).

390625079040 is an abundant number, since it is smaller than the sum of its proper divisors (1244995805088).

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

390625079040 is an equidigital number, since it uses as much as digits as its factorization.

390625079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 191 counting only the distinct ones).

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

The spelling of 390625079040 in words is "three hundred ninety billion, six hundred twenty-five million, seventy-nine thousand, forty".