21340993992192 has 480 divisors, whose sum is σ = 77291415032832. Its totient is φ = 5738750705664.

The previous prime is 21340993992173. The next prime is 21340993992203. The reversal of 21340993992192 is 29129939904312.

21340993992192 is a `hidden beast` number, since 2 + 1 + 3 + 409 + 9 + 3 + 9 + 9 + 219 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14084793 + ... + 15526215.

Almost surely, 2^{21340993992192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340993992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38645707516416).

21340993992192 is an abundant number, since it is smaller than the sum of its proper divisors (55950421040640).

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

21340993992192 is an equidigital number, since it uses as much as digits as its factorization.

21340993992192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441480 (or 1441452 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 21340993992192 in words is "twenty-one trillion, three hundred forty billion, nine hundred ninety-three million, nine hundred ninety-two thousand, one hundred ninety-two".