21221042790240 has 1152 divisors, whose sum is σ = 82740123648000. Its totient is φ = 4920360173568.

The previous prime is 21221042790193. The next prime is 21221042790313. The reversal of 21221042790240 is 4209724012212.

21221042790240 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 427 + 9 + 0 + 2 + 4 + 0 = 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 = 21221042790195 and 21221042790204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3485141116 + ... + 3485147204.

It is an arithmetic number, because the mean of its divisors is an integer number (71823024000).

Almost surely, 2^{21221042790240} is an apocalyptic number.

21221042790240 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 21221042790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370061824000).

21221042790240 is an abundant number, since it is smaller than the sum of its proper divisors (61519080857760).

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

21221042790240 is a wasteful number, since it uses less digits than its factorization.

21221042790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21221042790240 in words is "twenty-one trillion, two hundred twenty-one billion, forty-two million, seven hundred ninety thousand, two hundred forty".