21104940810240 has 1152 divisors, whose sum is σ = 85845653712000. Its totient is φ = 4794391461888.

The previous prime is 21104940810199. The next prime is 21104940810281. The reversal of 21104940810240 is 4201804940112.

21104940810240 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 9 + 408 + 1 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (21104940810199) and next prime (21104940810281).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 21104940810195 and 21104940810204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129478164399 + ... + 129478164561.

It is an arithmetic number, because the mean of its divisors is an integer number (74518796625).

Almost surely, 2^{21104940810240} is an apocalyptic number.

21104940810240 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 21104940810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42922826856000).

21104940810240 is an abundant number, since it is smaller than the sum of its proper divisors (64740712901760).

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

21104940810240 is an frugal number, since it uses more digits than its factorization.

21104940810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21104940810240 in words is "twenty-one trillion, one hundred four billion, nine hundred forty million, eight hundred ten thousand, two hundred forty".