21413144411400 has 384 divisors, whose sum is σ = 80392533120000. Its totient is φ = 4605709040640.

The previous prime is 21413144411357. The next prime is 21413144411431. The reversal of 21413144411400 is 411444131412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10989747 + ... + 12790653.

It is an arithmetic number, because the mean of its divisors is an integer number (209355555000).

Almost surely, 2^{21413144411400} is an apocalyptic number.

21413144411400 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 21413144411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40196266560000).

21413144411400 is an abundant number, since it is smaller than the sum of its proper divisors (58979388708600).

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

21413144411400 is a wasteful number, since it uses less digits than its factorization.

21413144411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801101 (or 1801092 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 21413144411400 its reverse (411444131412), we get a palindrome (21824588542812).

The spelling of 21413144411400 in words is "twenty-one trillion, four hundred thirteen billion, one hundred forty-four million, four hundred eleven thousand, four hundred".