214230261388800 has 480 divisors, whose sum is σ = 745574050742400. Its totient is φ = 54075515535360.

The previous prime is 214230261388783. The next prime is 214230261388811. The reversal of 214230261388800 is 8883162032412.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214230261388800.

It is a congruent number.

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, 865911516 + ... + 866158884.

It is an arithmetic number, because the mean of its divisors is an integer number (1553279272380).

Almost surely, 2^{214230261388800} is an apocalyptic number.

214230261388800 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 214230261388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372787025371200).

214230261388800 is an abundant number, since it is smaller than the sum of its proper divisors (531343789353600).

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

214230261388800 is a wasteful number, since it uses less digits than its factorization.

214230261388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248606 (or 248585 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 214230261388800 in words is "two hundred fourteen trillion, two hundred thirty billion, two hundred sixty-one million, three hundred eighty-eight thousand, eight hundred".