1990831804416 has 624 divisors, whose sum is σ = 7099843470720. Its totient is φ = 523409817600.

The previous prime is 1990831804411. The next prime is 1990831804427. The reversal of 1990831804416 is 6144081380991.

1990831804416 is a `hidden beast` number, since 1 + 9 + 90 + 8 + 31 + 80 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×1990831804416² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1990831804411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372040491 + ... + 1372041941.

It is an arithmetic number, because the mean of its divisors is an integer number (11377954280).

Almost surely, 2^{1990831804416} is an apocalyptic number.

1990831804416 is a gapful number since it is divisible by the number (16) 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 1990831804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549921735360).

1990831804416 is an abundant number, since it is smaller than the sum of its proper divisors (5109011666304).

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

1990831804416 is a wasteful number, since it uses less digits than its factorization.

1990831804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1990831804416 in words is "one trillion, nine hundred ninety billion, eight hundred thirty-one million, eight hundred four thousand, four hundred sixteen".