214418402961840 has 480 divisors, whose sum is σ = 927768157370880. Its totient is φ = 44554472962560.

The previous prime is 214418402961827. The next prime is 214418402961949. The reversal of 214418402961840 is 48169204814412.

It is a happy number.

214418402961840 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 18 + 4 + 0 + 2 + 9 + 618 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56770114 + ... + 60429153.

It is an arithmetic number, because the mean of its divisors is an integer number (1932850327856).

Almost surely, 2^{214418402961840} is an apocalyptic number.

214418402961840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214418402961840 is an abundant number, since it is smaller than the sum of its proper divisors (713349754409040).

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

214418402961840 is a wasteful number, since it uses less digits than its factorization.

214418402961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117199318 (or 117199295 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 214418402961840 in words is "two hundred fourteen trillion, four hundred eighteen billion, four hundred two million, nine hundred sixty-one thousand, eight hundred forty".