242232467233440 has 384 divisors, whose sum is σ = 767851635640320. Its totient is φ = 64188913287168.

The previous prime is 242232467233357. The next prime is 242232467233451. The reversal of 242232467233440 is 44332764232242.

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 242232467233440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137710327281 + ... + 137710329039.

It is an arithmetic number, because the mean of its divisors is an integer number (1999613634480).

Almost surely, 2^{242232467233440} is an apocalyptic number.

242232467233440 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 242232467233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383925817820160).

242232467233440 is an abundant number, since it is smaller than the sum of its proper divisors (525619168406880).

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

242232467233440 is a wasteful number, since it uses less digits than its factorization.

242232467233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 48.

The spelling of 242232467233440 in words is "two hundred forty-two trillion, two hundred thirty-two billion, four hundred sixty-seven million, two hundred thirty-three thousand, four hundred forty".