21964579195240 has 256 divisors, whose sum is σ = 57516625152000. Its totient is φ = 7464868346880.

The previous prime is 21964579195211. The next prime is 21964579195249. The reversal of 21964579195240 is 4259197546912.

It is not an unprimeable number, because it can be changed into a prime (21964579195249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491938597 + ... + 491983243.

It is an arithmetic number, because the mean of its divisors is an integer number (224674317000).

Almost surely, 2^{21964579195240} is an apocalyptic number.

21964579195240 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 21964579195240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28758312576000).

21964579195240 is an abundant number, since it is smaller than the sum of its proper divisors (35552045956760).

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

21964579195240 is a wasteful number, since it uses less digits than its factorization.

21964579195240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45480 (or 45476 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 64.

The spelling of 21964579195240 in words is "twenty-one trillion, nine hundred sixty-four billion, five hundred seventy-nine million, one hundred ninety-five thousand, two hundred forty".