21419743866840 has 2048 divisors, whose sum is σ = 86032171008000. Its totient is φ = 4684411699200.

The previous prime is 21419743866839. The next prime is 21419743866863. The reversal of 21419743866840 is 4866834791412.

21419743866840 is a `hidden beast` number, since 2 + 1 + 4 + 197 + 4 + 386 + 68 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 96052662969 + ... + 96052663191.

It is an arithmetic number, because the mean of its divisors is an integer number (42007896000).

Almost surely, 2^{21419743866840} is an apocalyptic number.

21419743866840 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 21419743866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43016085504000).

21419743866840 is an abundant number, since it is smaller than the sum of its proper divisors (64612427141160).

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

21419743866840 is a wasteful number, since it uses less digits than its factorization.

21419743866840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 21419743866840 in words is "twenty-one trillion, four hundred nineteen billion, seven hundred forty-three million, eight hundred sixty-six thousand, eight hundred forty".