21113514240 has 1152 divisors, whose sum is σ = 90193969152. Its totient is φ = 4087480320.

The previous prime is 21113514137. The next prime is 21113514307. The reversal of 21113514240 is 4241531112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21113514240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297373405 + ... + 297373475.

It is an arithmetic number, because the mean of its divisors is an integer number (78293376).

Almost surely, 2^21113514240 is an apocalyptic number.

21113514240 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 21113514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45096984576).

21113514240 is an abundant number, since it is smaller than the sum of its proper divisors (69080454912).

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

21113514240 is a wasteful number, since it uses less digits than its factorization.

21113514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 21113514240 in words is "twenty-one billion, one hundred thirteen million, five hundred fourteen thousand, two hundred forty".