21324668976240 has 320 divisors, whose sum is σ = 80040054251520. Its totient is φ = 4584873000960.

The previous prime is 21324668976211. The next prime is 21324668976271. The reversal of 21324668976240 is 4267986642312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50024800 + ... + 50449280.

It is an arithmetic number, because the mean of its divisors is an integer number (250125169536).

Almost surely, 2^{21324668976240} is an apocalyptic number.

21324668976240 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 21324668976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40020027125760).

21324668976240 is an abundant number, since it is smaller than the sum of its proper divisors (58715385275280).

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

21324668976240 is a wasteful number, since it uses less digits than its factorization.

21324668976240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426280 (or 426274 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 21324668976240 in words is "twenty-one trillion, three hundred twenty-four billion, six hundred sixty-eight million, nine hundred seventy-six thousand, two hundred forty".