243942624640 has 256 divisors, whose sum is σ = 690392989440. Its totient is φ = 81253785600.

The previous prime is 243942624619. The next prime is 243942624683. The reversal of 243942624640 is 46426249342.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11978947 + ... + 11999293.

It is an arithmetic number, because the mean of its divisors is an integer number (2696847615).

Almost surely, 2^243942624640 is an apocalyptic number.

243942624640 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 243942624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345196494720).

243942624640 is an abundant number, since it is smaller than the sum of its proper divisors (446450364800).

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

243942624640 is a wasteful number, since it uses less digits than its factorization.

243942624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20521 (or 20509 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 46.

The spelling of 243942624640 in words is "two hundred forty-three billion, nine hundred forty-two million, six hundred twenty-four thousand, six hundred forty".