1980456791040 has 1760 divisors, whose sum is σ = 8840927889024. Its totient is φ = 412782428160.

The previous prime is 1980456791017. The next prime is 1980456791041. The reversal of 1980456791040 is 401976540891.

1980456791040 is a `hidden beast` number, since 1 + 9 + 80 + 456 + 7 + 9 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1980456791041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3660733170 + ... + 3660733710.

Almost surely, 2^{1980456791040} is an apocalyptic number.

1980456791040 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 1980456791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420463944512).

1980456791040 is an abundant number, since it is smaller than the sum of its proper divisors (6860471097984).

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

1980456791040 is a wasteful number, since it uses less digits than its factorization.

1980456791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1980456791040 in words is "one trillion, nine hundred eighty billion, four hundred fifty-six million, seven hundred ninety-one thousand, forty".