904442266255360 has 480 divisors, whose sum is σ = 2506886508994560. Its totient is φ = 306841053560832.

The previous prime is 904442266255273. The next prime is 904442266255361. The reversal of 904442266255360 is 63552662244409.

It is a junction number, because it is equal to n+sod(n) for n = 904442266255295 and 904442266255304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904442266255361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386391203651 + ... + 2386391204029.

It is an arithmetic number, because the mean of its divisors is an integer number (5222680227072).

Almost surely, 2^{904442266255360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904442266255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253443254497280).

904442266255360 is an abundant number, since it is smaller than the sum of its proper divisors (1602444242739200).

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

904442266255360 is an frugal number, since it uses more digits than its factorization.

904442266255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 58.

The spelling of 904442266255360 in words is "nine hundred four trillion, four hundred forty-two billion, two hundred sixty-six million, two hundred fifty-five thousand, three hundred sixty".