21143082240 has 1152 divisors, whose sum is σ = 93457566720. Its totient is φ = 4416602112.

The previous prime is 21143082227. The next prime is 21143082251. The reversal of 21143082240 is 4228034112.

21143082240 is a `hidden beast` number, since 2 + 1 + 1 + 430 + 8 + 224 + 0 = 666.

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 (27).

It is a congruent number.

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, 217969872 + ... + 217969968.

It is an arithmetic number, because the mean of its divisors is an integer number (81126360).

Almost surely, 2^21143082240 is an apocalyptic number.

21143082240 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 21143082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46728783360).

21143082240 is an abundant number, since it is smaller than the sum of its proper divisors (72314484480).

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

21143082240 is a wasteful number, since it uses less digits than its factorization.

21143082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 21143082240 in words is "twenty-one billion, one hundred forty-three million, eighty-two thousand, two hundred forty".