21411380222640 has 800 divisors, whose sum is σ = 78766866097920. Its totient is φ = 5375590852608.

The previous prime is 21411380222633. The next prime is 21411380222653. The reversal of 21411380222640 is 4622208311412.

21411380222640 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 3 + 8 + 0 + 2 + 2 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21411380222595 and 21411380222604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17651590674 + ... + 17651591886.

Almost surely, 2^{21411380222640} is an apocalyptic number.

21411380222640 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 21411380222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39383433048960).

21411380222640 is an abundant number, since it is smaller than the sum of its proper divisors (57355485875280).

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

21411380222640 is a wasteful number, since it uses less digits than its factorization.

21411380222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21411380222640 in words is "twenty-one trillion, four hundred eleven billion, three hundred eighty million, two hundred twenty-two thousand, six hundred forty".