909489409920 has 2560 divisors, whose sum is σ = 4296200832000. Its totient is φ = 178012422144.

The previous prime is 909489409919. The next prime is 909489409951. The reversal of 909489409920 is 29904984909.

909489409920 is a `hidden beast` number, since 9 + 0 + 9 + 489 + 40 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6543089211 + ... + 6543089349.

It is an arithmetic number, because the mean of its divisors is an integer number (1678203450).

Almost surely, 2^909489409920 is an apocalyptic number.

909489409920 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 909489409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148100416000).

909489409920 is an abundant number, since it is smaller than the sum of its proper divisors (3386711422080).

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

909489409920 is a wasteful number, since it uses less digits than its factorization.

909489409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 909489409920 in words is "nine hundred nine billion, four hundred eighty-nine million, four hundred nine thousand, nine hundred twenty".