21192695040 has 432 divisors, whose sum is σ = 78802282944. Its totient is φ = 4833607680.

The previous prime is 21192695011. The next prime is 21192695059. The reversal of 21192695040 is 4059629112.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21192695040.

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, 7897539 + ... + 7900221.

It is an arithmetic number, because the mean of its divisors is an integer number (182412692).

Almost surely, 2^21192695040 is an apocalyptic number.

21192695040 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 21192695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39401141472).

21192695040 is an abundant number, since it is smaller than the sum of its proper divisors (57609587904).

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

21192695040 is a wasteful number, since it uses less digits than its factorization.

21192695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 21192695040 in words is "twenty-one billion, one hundred ninety-two million, six hundred ninety-five thousand, forty".