214080009860640 has 1152 divisors, whose sum is σ = 904509910757376. Its totient is φ = 41560449638400.

The previous prime is 214080009860593. The next prime is 214080009860809. The reversal of 214080009860640 is 46068900080412.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 214080009860640.

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, 401821630 + ... + 402354050.

It is an arithmetic number, because the mean of its divisors is an integer number (785164853088).

Almost surely, 2^{214080009860640} is an apocalyptic number.

214080009860640 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 214080009860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452254955378688).

214080009860640 is an abundant number, since it is smaller than the sum of its proper divisors (690429900896736).

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

214080009860640 is a wasteful number, since it uses less digits than its factorization.

214080009860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532534 (or 532515 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 214080009860640 in words is "two hundred fourteen trillion, eighty billion, nine million, eight hundred sixty thousand, six hundred forty".