243642644216400 has 240 divisors, whose sum is σ = 916914164362560. Its totient is φ = 54521430835200.

The previous prime is 243642644216371. The next prime is 243642644216417. The reversal of 243642644216400 is 4612446246342.

It is a tau number, because it is divible by the number of its divisors (240).

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 243642644216400.

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, 709742865 + ... + 710086064.

It is an arithmetic number, because the mean of its divisors is an integer number (3820475684844).

Almost surely, 2^{243642644216400} is an apocalyptic number.

243642644216400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243642644216400 is an abundant number, since it is smaller than the sum of its proper divisors (673271520146160).

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

243642644216400 is a wasteful number, since it uses less digits than its factorization.

243642644216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419828974 (or 1419828963 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 243642644216400 in words is "two hundred forty-three trillion, six hundred forty-two billion, six hundred forty-four million, two hundred sixteen thousand, four hundred".