21988418400 has 432 divisors, whose sum is σ = 83865351024. Its totient is φ = 5388963840.

The previous prime is 21988418399. The next prime is 21988418411. The reversal of 21988418400 is 481488912.

21988418400 is a `hidden beast` number, since 2 + 198 + 8 + 418 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32478862 + ... + 32479538.

It is an arithmetic number, because the mean of its divisors is an integer number (194132757).

Almost surely, 2^21988418400 is an apocalyptic number.

21988418400 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 21988418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932675512).

21988418400 is an abundant number, since it is smaller than the sum of its proper divisors (61876932624).

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

21988418400 is a wasteful number, since it uses less digits than its factorization.

21988418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 21988418400 in words is "twenty-one billion, nine hundred eighty-eight million, four hundred eighteen thousand, four hundred".