21424101620000 has 120 divisors (see below), whose sum is σ = 52711400824236. Its totient is φ = 8568844416000.

The previous prime is 21424101619951. The next prime is 21424101620021. The reversal of 21424101620000 is 2610142412.

It can be written as a sum of positive squares in 10 ways, for example, as 9250673586064 + 12173428033936 = 3041492^2 + 3489044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245496374 + ... + 245583626.

Almost surely, 2^{21424101620000} is an apocalyptic number.

21424101620000 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 21424101620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355700412118).

21424101620000 is an abundant number, since it is smaller than the sum of its proper divisors (31287299204236).

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

21424101620000 is an equidigital number, since it uses as much as digits as its factorization.

21424101620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99560 (or 99537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 21424101620000 its reverse (2610142412), we get a palindrome (21426711762412).

The spelling of 21424101620000 in words is "twenty-one trillion, four hundred twenty-four billion, one hundred one million, six hundred twenty thousand".