904020640000 has 135 divisors (see below), whose sum is σ = 2255864671137. Its totient is φ = 361456128000.

The previous prime is 904020639989. The next prime is 904020640001. The reversal of 904020640000 is 46020409.

The square root of 904020640000 is 950800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 769255293184 + 134765346816 = 877072^2 + 367104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (904020640001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 380318812 + ... + 380321188.

Almost surely, 2^904020640000 is an apocalyptic number.

904020640000 is the 950800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904020640000

904020640000 is an abundant number, since it is smaller than the sum of its proper divisors (1351844031137).

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

904020640000 is an frugal number, since it uses more digits than its factorization.

904020640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 904020640000 by its sum of digits (25), we get a square (22600516000000 = 4754000²).

904020640000 divided by its sum of digits (25) gives a square (36160825600 = 190160²).

Adding to 904020640000 its reverse (46020409), we get a palindrome (904066660409).

The spelling of 904020640000 in words is "nine hundred four billion, twenty million, six hundred forty thousand".