242378651640 has 128 divisors (see below), whose sum is σ = 737786880000. Its totient is φ = 63694407168.

The previous prime is 242378651629. The next prime is 242378651651. The reversal of 242378651640 is 46156873242.

It is an interprime number because it is at equal distance from previous prime (242378651629) and next prime (242378651651).

It is a self number, because there is not a number n which added to its sum of digits gives 242378651640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2217391 + ... + 2324129.

It is an arithmetic number, because the mean of its divisors is an integer number (5763960000).

Almost surely, 2^242378651640 is an apocalyptic number.

242378651640 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 242378651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368893440000).

242378651640 is an abundant number, since it is smaller than the sum of its proper divisors (495408228360).

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

242378651640 is a wasteful number, since it uses less digits than its factorization.

242378651640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107029 (or 107025 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 242378651640 in words is "two hundred forty-two billion, three hundred seventy-eight million, six hundred fifty-one thousand, six hundred forty".