21921359040 has 336 divisors, whose sum is σ = 86811746112. Its totient is φ = 4973395968.

The previous prime is 21921359039. The next prime is 21921359051. The reversal of 21921359040 is 4095312912.

21921359040 is a `hidden beast` number, since 2 + 1 + 9 + 21 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 21921358986 and 21921359004.

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, 2757952 + ... + 2765888.

It is an arithmetic number, because the mean of its divisors is an integer number (258368292).

Almost surely, 2^21921359040 is an apocalyptic number.

21921359040 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 21921359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43405873056).

21921359040 is an abundant number, since it is smaller than the sum of its proper divisors (64890387072).

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

21921359040 is a wasteful number, since it uses less digits than its factorization.

21921359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 21921359040 in words is "twenty-one billion, nine hundred twenty-one million, three hundred fifty-nine thousand, forty".