903401009280 has 1280 divisors, whose sum is σ = 4259210376960. Its totient is φ = 176664084480.

The previous prime is 903401009249. The next prime is 903401009323. The reversal of 903401009280 is 82900104309.

903401009280 is a `hidden beast` number, since 90 + 3 + 401 + 0 + 0 + 92 + 80 = 666.

It is a super-2 number, since 2×903401009280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67851904 + ... + 67865216.

It is an arithmetic number, because the mean of its divisors is an integer number (3327508107).

Almost surely, 2^903401009280 is an apocalyptic number.

903401009280 is a gapful number since it is divisible by the number (90) 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 903401009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129605188480).

903401009280 is an abundant number, since it is smaller than the sum of its proper divisors (3355809367680).

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

903401009280 is a wasteful number, since it uses less digits than its factorization.

903401009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13379 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 903401009280 in words is "nine hundred three billion, four hundred one million, nine thousand, two hundred eighty".