21419123404800 has 936 divisors, whose sum is σ = 78198567471360. Its totient is φ = 5168644096000.

The previous prime is 21419123404771. The next prime is 21419123404829. The reversal of 21419123404800 is 840432191412.

It is an interprime number because it is at equal distance from previous prime (21419123404771) and next prime (21419123404829).

It is a super-2 number, since 2×21419123404800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8883915595 + ... + 8883918005.

Almost surely, 2^{21419123404800} is an apocalyptic number.

21419123404800 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 21419123404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39099283735680).

21419123404800 is an abundant number, since it is smaller than the sum of its proper divisors (56779444066560).

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

21419123404800 is a wasteful number, since it uses less digits than its factorization.

21419123404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 21419123404800 in words is "twenty-one trillion, four hundred nineteen billion, one hundred twenty-three million, four hundred four thousand, eight hundred".