21412518400 has 480 divisors, whose sum is σ = 67513678848. Its totient is φ = 6547046400.

The previous prime is 21412518383. The next prime is 21412518401. The reversal of 21412518400 is 481521412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21412518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36108504 + ... + 36109096.

Almost surely, 2^21412518400 is an apocalyptic number.

21412518400 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 21412518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33756839424).

21412518400 is an abundant number, since it is smaller than the sum of its proper divisors (46101160448).

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

21412518400 is a wasteful number, since it uses less digits than its factorization.

21412518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 21412518400 in words is "twenty-one billion, four hundred twelve million, five hundred eighteen thousand, four hundred".