20446789440 has 896 divisors, whose sum is σ = 87599812608. Its totient is φ = 3910533120.

The previous prime is 20446789439. The next prime is 20446789459. The reversal of 20446789440 is 4498764402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20446789440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66601767 + ... + 66602073.

It is an arithmetic number, because the mean of its divisors is an integer number (97767648).

Almost surely, 2^20446789440 is an apocalyptic number.

20446789440 is a gapful number since it is divisible by the number (20) 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 20446789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43799906304).

20446789440 is an abundant number, since it is smaller than the sum of its proper divisors (67153023168).

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

20446789440 is a wasteful number, since it uses less digits than its factorization.

20446789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 20446789440 in words is "twenty billion, four hundred forty-six million, seven hundred eighty-nine thousand, four hundred forty".