21419840905920 has 672 divisors, whose sum is σ = 80474042638080. Its totient is φ = 5408049991680.

The previous prime is 21419840905871. The next prime is 21419840905949. The reversal of 21419840905920 is 2950904891412.

21419840905920 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 9 + 8 + 40 + 9 + 0 + 592 + 0 = 666.

21419840905920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3254797030 + ... + 3254803610.

It is an arithmetic number, because the mean of its divisors is an integer number (119753039640).

Almost surely, 2^{21419840905920} is an apocalyptic number.

21419840905920 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 21419840905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40237021319040).

21419840905920 is an abundant number, since it is smaller than the sum of its proper divisors (59054201732160).

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

21419840905920 is a wasteful number, since it uses less digits than its factorization.

21419840905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 21419840905920 in words is "twenty-one trillion, four hundred nineteen billion, eight hundred forty million, nine hundred five thousand, nine hundred twenty".