214236525565040 has 80 divisors (see below), whose sum is σ = 544221582589440. Its totient is φ = 77783782575360.

The previous prime is 214236525565021. The next prime is 214236525565093. The reversal of 214236525565040 is 40565525632412.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214236525565040.

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, 187568660 + ... + 188707379.

It is an arithmetic number, because the mean of its divisors is an integer number (6802769782368).

Almost surely, 2^{214236525565040} is an apocalyptic number.

214236525565040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214236525565040 is an abundant number, since it is smaller than the sum of its proper divisors (329985057024400).

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

214236525565040 is a wasteful number, since it uses less digits than its factorization.

214236525565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376276710 (or 376276704 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 50.

The spelling of 214236525565040 in words is "two hundred fourteen trillion, two hundred thirty-six billion, five hundred twenty-five million, five hundred sixty-five thousand, forty".