990406560125472 has 384 divisors, whose sum is σ = 3200696615337984. Its totient is φ = 261990145916928.

The previous prime is 990406560125407. The next prime is 990406560125501. The reversal of 990406560125472 is 274521065604099.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105884593 + ... + 114857999.

It is an arithmetic number, because the mean of its divisors is an integer number (8335147435776).

Almost surely, 2^{990406560125472} is an apocalyptic number.

990406560125472 is a gapful number since it is divisible by the number (92) 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 990406560125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600348307668992).

990406560125472 is an abundant number, since it is smaller than the sum of its proper divisors (2210290055212512).

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

990406560125472 is a wasteful number, since it uses less digits than its factorization.

990406560125472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973680 (or 8973672 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 990406560125472 in words is "nine hundred ninety trillion, four hundred six billion, five hundred sixty million, one hundred twenty-five thousand, four hundred seventy-two".