21114430400 has 168 divisors, whose sum is σ = 60641642496. Its totient is φ = 7085030400.

The previous prime is 21114430361. The next prime is 21114430411. The reversal of 21114430400 is 403441112.

It is a super-2 number, since 2×21114430400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 506345 + ... + 546455.

Almost surely, 2^21114430400 is an apocalyptic number.

21114430400 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 21114430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30320821248).

21114430400 is an abundant number, since it is smaller than the sum of its proper divisors (39527212096).

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

21114430400 is a wasteful number, since it uses less digits than its factorization.

21114430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40187 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21114430400 its reverse (403441112), we get a palindrome (21517871512).

The spelling of 21114430400 in words is "twenty-one billion, one hundred fourteen million, four hundred thirty thousand, four hundred".