1982790436032 has 168 divisors, whose sum is σ = 6735776110336. Its totient is φ = 566511522048.

The previous prime is 1982790436031. The next prime is 1982790436037. The reversal of 1982790436032 is 2306340972891.

1982790436032 is a `hidden beast` number, since 1 + 9 + 8 + 27 + 9 + 0 + 4 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1982790436032.

It is not an unprimeable number, because it can be changed into a prime (1982790436031) 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 23 ways as a sum of consecutive naturals, for example, 8997868 + ... + 9215595.

Almost surely, 2^{1982790436032} is an apocalyptic number.

1982790436032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1982790436032 is an abundant number, since it is smaller than the sum of its proper divisors (4752985674304).

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

1982790436032 is an equidigital number, since it uses as much as digits as its factorization.

1982790436032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213497 (or 18213475 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1982790436032 in words is "one trillion, nine hundred eighty-two billion, seven hundred ninety million, four hundred thirty-six thousand, thirty-two".