214556344361040 has 80 divisors (see below), whose sum is σ = 725590546393536. Its totient is φ = 52013659238400.

The previous prime is 214556344361011. The next prime is 214556344361087. The reversal of 214556344361040 is 40163443655412.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40635668641 + ... + 40635673920.

Almost surely, 2^{214556344361040} is an apocalyptic number.

214556344361040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214556344361040 is an abundant number, since it is smaller than the sum of its proper divisors (511034202032496).

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

214556344361040 is a wasteful number, since it uses less digits than its factorization.

214556344361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81271342588 (or 81271342582 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 214556344361040 in words is "two hundred fourteen trillion, five hundred fifty-six billion, three hundred forty-four million, three hundred sixty-one thousand, forty".