20998042400 has 72 divisors (see below), whose sum is σ = 51653037744. Its totient is φ = 8335059200.

The previous prime is 20998042397. The next prime is 20998042411. The reversal of 20998042400 is 424089902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4619 + ... + 204981.

It is an arithmetic number, because the mean of its divisors is an integer number (717403302).

Almost surely, 2^20998042400 is an apocalyptic number.

20998042400 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 20998042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25826518872).

20998042400 is an abundant number, since it is smaller than the sum of its proper divisors (30654995344).

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

20998042400 is a wasteful number, since it uses less digits than its factorization.

20998042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200514 (or 200501 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 20998042400 in words is "twenty billion, nine hundred ninety-eight million, forty-two thousand, four hundred".