21334815252240 has 640 divisors, whose sum is σ = 79251499008000. Its totient is φ = 4644718460928.

The previous prime is 21334815252227. The next prime is 21334815252241. The reversal of 21334815252240 is 4225251843312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21334815252192 and 21334815252201.

It is not an unprimeable number, because it can be changed into a prime (21334815252241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7185857476 + ... + 7185860444.

It is an arithmetic number, because the mean of its divisors is an integer number (123830467200).

Almost surely, 2^{21334815252240} is an apocalyptic number.

21334815252240 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 21334815252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39625749504000).

21334815252240 is an abundant number, since it is smaller than the sum of its proper divisors (57916683755760).

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

21334815252240 is a wasteful number, since it uses less digits than its factorization.

21334815252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 21334815252240 in words is "twenty-one trillion, three hundred thirty-four billion, eight hundred fifteen million, two hundred fifty-two thousand, two hundred forty".