904440942441 has 81 divisors (see below), whose sum is σ = 1386944690781. Its totient is φ = 589762358856.

The previous prime is 904440942407. The next prime is 904440942481. The reversal of 904440942441 is 144249044409.

It is a happy number.

The square root of 904440942441 is 951021.

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

904440942441 is a `hidden beast` number, since 90 + 44 + 40 + 9 + 42 + 441 = 666.

904440942441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 904440942441 - 2¹⁹ = 904440418153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904440942481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4544929260 + ... + 4544929458.

Almost surely, 2^904440942441 is an apocalyptic number.

904440942441 is the 951021-st square number.

904440942441 is the 475511-st centered octagonal number.

It is an amenable number.

904440942441 is a deficient number, since it is larger than the sum of its proper divisors (482503748340).

904440942441 is an frugal number, since it uses more digits than its factorization.

904440942441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 904440 and 942441, that added together give a square (1846881 = 1359²).

The spelling of 904440942441 in words is "nine hundred four billion, four hundred forty million, nine hundred forty-two thousand, four hundred forty-one".