214173042912000 has 432 divisors, whose sum is σ = 774692128304640. Its totient is φ = 56813776896000.

The previous prime is 214173042911987. The next prime is 214173042912041. The reversal of 214173042912000 is 219240371412.

214173042912000 is a `hidden beast` number, since 2 + 1 + 41 + 7 + 304 + 291 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53061256 + ... + 56954744.

It is an arithmetic number, because the mean of its divisors is an integer number (1793268815520).

Almost surely, 2^{214173042912000} is an apocalyptic number.

214173042912000 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 214173042912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387346064152320).

214173042912000 is an abundant number, since it is smaller than the sum of its proper divisors (560519085392640).

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

214173042912000 is a wasteful number, since it uses less digits than its factorization.

214173042912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893717 (or 3893690 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 214173042912000 in words is "two hundred fourteen trillion, one hundred seventy-three billion, forty-two million, nine hundred twelve thousand".