900925885440 has 1320 divisors, whose sum is σ = 3864019386240. Its totient is φ = 193408008192.

The previous prime is 900925885439. The next prime is 900925885441. The reversal of 900925885440 is 44588529009.

It is a happy number.

900925885440 is a `hidden beast` number, since 9 + 0 + 0 + 9 + 2 + 588 + 54 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (900925885439) and next prime (900925885441).

It is not an unprimeable number, because it can be changed into a prime (900925885441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1880847121 + ... + 1880847599.

Almost surely, 2^900925885440 is an apocalyptic number.

900925885440 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 900925885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932009693120).

900925885440 is an abundant number, since it is smaller than the sum of its proper divisors (2963093500800).

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

900925885440 is a wasteful number, since it uses less digits than its factorization.

900925885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 900925885440 in words is "nine hundred billion, nine hundred twenty-five million, eight hundred eighty-five thousand, four hundred forty".