1990116311040 has 1632 divisors, whose sum is σ = 8427718500480. Its totient is φ = 445340712960.

The previous prime is 1990116311023. The next prime is 1990116311077. The reversal of 1990116311040 is 401136110991.

1990116311040 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 1 + 631 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1990116310986 and 1990116311004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153085870074 + ... + 153085870086.

Almost surely, 2^{1990116311040} is an apocalyptic number.

1990116311040 is a gapful number since it is divisible by the number (10) 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 1990116311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213859250240).

1990116311040 is an abundant number, since it is smaller than the sum of its proper divisors (6437602189440).

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

1990116311040 is an frugal number, since it uses more digits than its factorization.

1990116311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 1990116311040 in words is "one trillion, nine hundred ninety billion, one hundred sixteen million, three hundred eleven thousand, forty".