21412970516640 has 192 divisors, whose sum is σ = 67872896372736. Its totient is φ = 5674405819392.

The previous prime is 21412970516603. The next prime is 21412970516647. The reversal of 21412970516640 is 4661507921412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21412970516640.

It is not an unprimeable number, because it can be changed into a prime (21412970516647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196045929 + ... + 1196063831.

It is an arithmetic number, because the mean of its divisors is an integer number (353504668608).

Almost surely, 2^{21412970516640} is an apocalyptic number.

21412970516640 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 21412970516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33936448186368).

21412970516640 is an abundant number, since it is smaller than the sum of its proper divisors (46459925856096).

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

21412970516640 is a wasteful number, since it uses less digits than its factorization.

21412970516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33371 (or 33363 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 21412970516640 in words is "twenty-one trillion, four hundred twelve billion, nine hundred seventy million, five hundred sixteen thousand, six hundred forty".