21402179810000 has 200 divisors, whose sum is σ = 56543786421408. Its totient is φ = 7780360000000.

The previous prime is 21402179809949. The next prime is 21402179810021. The reversal of 21402179810000 is 1897120412.

It is a Cunningham number, because it is equal to 4626249²-1.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×21402179810000² (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 39 ways as a sum of consecutive naturals, for example, 407083715 + ... + 407136285.

Almost surely, 2^{21402179810000} is an apocalyptic number.

21402179810000 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 21402179810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28271893210704).

21402179810000 is an abundant number, since it is smaller than the sum of its proper divisors (35141606611408).

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

21402179810000 is a wasteful number, since it uses less digits than its factorization.

21402179810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56311 (or 56290 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 21402179810000 in words is "twenty-one trillion, four hundred two billion, one hundred seventy-nine million, eight hundred ten thousand".