21461201645400 has 768 divisors, whose sum is σ = 85726938124800. Its totient is φ = 4877107200000.

The previous prime is 21461201645381. The next prime is 21461201645419. The reversal of 21461201645400 is 454610216412.

21461201645400 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 1 + 2 + 0 + 1 + 645 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21461201645381) and next prime (21461201645419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253417464 + ... + 253502136.

It is an arithmetic number, because the mean of its divisors is an integer number (111623617350).

Almost surely, 2^{21461201645400} is an apocalyptic number.

21461201645400 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 21461201645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42863469062400).

21461201645400 is an abundant number, since it is smaller than the sum of its proper divisors (64265736479400).

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

21461201645400 is a wasteful number, since it uses less digits than its factorization.

21461201645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84977 (or 84962 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21461201645400 in words is "twenty-one trillion, four hundred sixty-one billion, two hundred one million, six hundred forty-five thousand, four hundred".