21344150400 has 192 divisors, whose sum is σ = 70406230320. Its totient is φ = 5683363840.

The previous prime is 21344150389. The next prime is 21344150449. The reversal of 21344150400 is 405144312.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 9147634 + ... + 9149966.

Almost surely, 2^21344150400 is an apocalyptic number.

21344150400 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 21344150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35203115160).

21344150400 is an abundant number, since it is smaller than the sum of its proper divisors (49062079920).

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

21344150400 is a wasteful number, since it uses less digits than its factorization.

21344150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 21344150400 its reverse (405144312), we get a palindrome (21749294712).

The spelling of 21344150400 in words is "twenty-one billion, three hundred forty-four million, one hundred fifty thousand, four hundred".