21234414510400 has 336 divisors, whose sum is σ = 64407903435904. Its totient is φ = 6709861048320.

The previous prime is 21234414510389. The next prime is 21234414510401. The reversal of 21234414510400 is 401541443212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21234414510401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93507394 + ... + 93734206.

Almost surely, 2^{21234414510400} is an apocalyptic number.

21234414510400 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 21234414510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32203951717952).

21234414510400 is an abundant number, since it is smaller than the sum of its proper divisors (43173488925504).

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

21234414510400 is a wasteful number, since it uses less digits than its factorization.

21234414510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227498 (or 227483 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 21234414510400 its reverse (401541443212), we get a palindrome (21635955953612).

The spelling of 21234414510400 in words is "twenty-one trillion, two hundred thirty-four billion, four hundred fourteen million, five hundred ten thousand, four hundred".