21734019273840 has 320 divisors, whose sum is σ = 69437676751872. Its totient is φ = 5619472588800.

The previous prime is 21734019273823. The next prime is 21734019273851. The reversal of 21734019273840 is 4837291043712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3199469484 + ... + 3199476276.

Almost surely, 2^{21734019273840} is an apocalyptic number.

21734019273840 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 21734019273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34718838375936).

21734019273840 is an abundant number, since it is smaller than the sum of its proper divisors (47703657478032).

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

21734019273840 is a wasteful number, since it uses less digits than its factorization.

21734019273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 21734019273840 in words is "twenty-one trillion, seven hundred thirty-four billion, nineteen million, two hundred seventy-three thousand, eight hundred forty".