21417467904000 has 3264 divisors, whose sum is σ = 96457854205440. Its totient is φ = 4637432217600.

The previous prime is 21417467903981. The next prime is 21417467904023. The reversal of 21417467904000 is 40976471412.

21417467904000 is a `hidden beast` number, since 2 + 1 + 4 + 174 + 6 + 79 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404103167974 + ... + 404103168026.

Almost surely, 2^{21417467904000} is an apocalyptic number.

21417467904000 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 21417467904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48228927102720).

21417467904000 is an abundant number, since it is smaller than the sum of its proper divisors (75040386301440).

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

21417467904000 is an frugal number, since it uses more digits than its factorization.

21417467904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21417467904000 in words is "twenty-one trillion, four hundred seventeen billion, four hundred sixty-seven million, nine hundred four thousand".