21146244134400 has 3360 divisors, whose sum is σ = 103155031584000. Its totient is φ = 4160072908800.

The previous prime is 21146244134357. The next prime is 21146244134503. The reversal of 21146244134400 is 443144264112.

21146244134400 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 6 + 244 + 1 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13651544826 + ... + 13651546374.

Almost surely, 2^{21146244134400} is an apocalyptic number.

21146244134400 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 21146244134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51577515792000).

21146244134400 is an abundant number, since it is smaller than the sum of its proper divisors (82008787449600).

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

21146244134400 is a wasteful number, since it uses less digits than its factorization.

21146244134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 21146244134400 its reverse (443144264112), we get a palindrome (21589388398512).

The spelling of 21146244134400 in words is "twenty-one trillion, one hundred forty-six billion, two hundred forty-four million, one hundred thirty-four thousand, four hundred".