20446742984640 has 112 divisors (see below), whose sum is σ = 74192467425792. Its totient is φ = 4673541252096.

The previous prime is 20446742984557. The next prime is 20446742984653. The reversal of 20446742984640 is 4648924764402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×20446742984640³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521328324 + ... + 1521341763.

Almost surely, 2^{20446742984640} is an apocalyptic number.

20446742984640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20446742984640 is an abundant number, since it is smaller than the sum of its proper divisors (53745724441152).

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

20446742984640 is a wasteful number, since it uses less digits than its factorization.

20446742984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042670114 (or 3042670104 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 20446742984640 in words is "twenty trillion, four hundred forty-six billion, seven hundred forty-two million, nine hundred eighty-four thousand, six hundred forty".