21999032340480 has 624 divisors, whose sum is σ = 82967166500400. Its totient is φ = 5359263547392.

The previous prime is 21999032340449. The next prime is 21999032340499. The reversal of 21999032340480 is 8404323099912.

21999032340480 is a `hidden beast` number, since 2 + 1 + 9 + 9 + 90 + 32 + 3 + 40 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28288548864 + 21970743791616 = 168192^2 + 4687296^2 .

It is a tau number, because it is divible by the number of its divisors (624).

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, 232380196 + ... + 232474844.

It is an arithmetic number, because the mean of its divisors is an integer number (132960202725).

Almost surely, 2^{21999032340480} is an apocalyptic number.

21999032340480 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 21999032340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41483583250200).

21999032340480 is an abundant number, since it is smaller than the sum of its proper divisors (60968134159920).

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

21999032340480 is a wasteful number, since it uses less digits than its factorization.

21999032340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94794 (or 94769 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 21999032340480 in words is "twenty-one trillion, nine hundred ninety-nine billion, thirty-two million, three hundred forty thousand, four hundred eighty".