21409192800 has 216 divisors, whose sum is σ = 75606817104. Its totient is φ = 5700602880.

The previous prime is 21409192789. The next prime is 21409192853. The reversal of 21409192800 is 829190412.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5923794 + ... + 5927406.

Almost surely, 2^21409192800 is an apocalyptic number.

21409192800 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 21409192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37803408552).

21409192800 is an abundant number, since it is smaller than the sum of its proper divisors (54197624304).

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

21409192800 is a wasteful number, since it uses less digits than its factorization.

21409192800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 21409192800 in words is "twenty-one billion, four hundred nine million, one hundred ninety-two thousand, eight hundred".