21345034310400 has 216 divisors, whose sum is σ = 72346929003664. Its totient is φ = 5538170880000.

The previous prime is 21345034310389. The next prime is 21345034310447. The reversal of 21345034310400 is 401343054312.

It is a super-2 number, since 2×21345034310400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14312851 + ... + 15733650.

Almost surely, 2^{21345034310400} is an apocalyptic number.

21345034310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21345034310400 is an abundant number, since it is smaller than the sum of its proper divisors (51001894693264).

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

21345034310400 is a wasteful number, since it uses less digits than its factorization.

21345034310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30046567 (or 30046548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 21345034310400 its reverse (401343054312), we get a palindrome (21746377364712).

The spelling of 21345034310400 in words is "twenty-one trillion, three hundred forty-five billion, thirty-four million, three hundred ten thousand, four hundred".