21114470400 has 180 divisors, whose sum is σ = 69820447872. Its totient is φ = 5630197760.

The previous prime is 21114470371. The next prime is 21114470411. The reversal of 21114470400 is 407441112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1220209 + ... + 1237391.

Almost surely, 2^21114470400 is an apocalyptic number.

21114470400 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 21114470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34910223936).

21114470400 is an abundant number, since it is smaller than the sum of its proper divisors (48705977472).

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

21114470400 is an equidigital number, since it uses as much as digits as its factorization.

21114470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17224 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 21114470400 in words is "twenty-one billion, one hundred fourteen million, four hundred seventy thousand, four hundred".