21541150400 has 336 divisors, whose sum is σ = 67351046400. Its totient is φ = 6585446400.

The previous prime is 21541150363. The next prime is 21541150409. The reversal of 21541150400 is 405114512.

It is not an unprimeable number, because it can be changed into a prime (21541150409) 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, 6527951 + ... + 6531249.

Almost surely, 2^21541150400 is an apocalyptic number.

21541150400 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 21541150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675523200).

21541150400 is an abundant number, since it is smaller than the sum of its proper divisors (45809896000).

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

21541150400 is a wasteful number, since it uses less digits than its factorization.

21541150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 21541150400 its reverse (405114512), we get a palindrome (21946264912).

The spelling of 21541150400 in words is "twenty-one billion, five hundred forty-one million, one hundred fifty thousand, four hundred".