21417871493304 has 720 divisors, whose sum is σ = 73064154378600. Its totient is φ = 5851531445760.

The previous prime is 21417871493287. The next prime is 21417871493351. The reversal of 21417871493304 is 40339417871412.

21417871493304 is a `hidden beast` number, since 2 + 1 + 41 + 7 + 87 + 1 + 493 + 30 + 4 = 666.

It is a super-2 number, since 2×21417871493304² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 569772142 + ... + 569809730.

Almost surely, 2^{21417871493304} is an apocalyptic number.

21417871493304 is a gapful number since it is divisible by the number (24) 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 21417871493304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36532077189300).

21417871493304 is an abundant number, since it is smaller than the sum of its proper divisors (51646282885296).

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

21417871493304 is a wasteful number, since it uses less digits than its factorization.

21417871493304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37698 (or 37661 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21417871493304 in words is "twenty-one trillion, four hundred seventeen billion, eight hundred seventy-one million, four hundred ninety-three thousand, three hundred four".