990305410429440 has 1440 divisors, whose sum is σ = 4084589658726720. Its totient is φ = 220975094366208.

The previous prime is 990305410429427. The next prime is 990305410429463. The reversal of 990305410429440 is 44924014503099.

990305410429440 is a `hidden beast` number, since 9 + 9 + 0 + 3 + 0 + 541 + 0 + 4 + 2 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×990305410429440² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119761201626 + ... + 119761209894.

It is an arithmetic number, because the mean of its divisors is an integer number (2836520596338).

Almost surely, 2^{990305410429440} is an apocalyptic number.

990305410429440 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 990305410429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042294829363360).

990305410429440 is an abundant number, since it is smaller than the sum of its proper divisors (3094284248297280).

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

990305410429440 is a wasteful number, since it uses less digits than its factorization.

990305410429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 990305410429440 in words is "nine hundred ninety trillion, three hundred five billion, four hundred ten million, four hundred twenty-nine thousand, four hundred forty".