21169416400 has 120 divisors (see below), whose sum is σ = 57273262848. Its totient is φ = 7449600000.

The previous prime is 21169416377. The next prime is 21169416451. The reversal of 21169416400 is 461496112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58800 + ... + 214000.

Almost surely, 2^21169416400 is an apocalyptic number.

21169416400 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 21169416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28636631424).

21169416400 is an abundant number, since it is smaller than the sum of its proper divisors (36103846448).

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

21169416400 is a wasteful number, since it uses less digits than its factorization.

21169416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155261 (or 155250 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 21169416400 in words is "twenty-one billion, one hundred sixty-nine million, four hundred sixteen thousand, four hundred".