242781625399040 has 432 divisors, whose sum is σ = 766863163775520. Its totient is φ = 72792357765120.

The previous prime is 242781625398953. The next prime is 242781625399063. The reversal of 242781625399040 is 40993526187242.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7656050 + ... + 23327630.

It is a 1-persistent number, because it is pandigital, but 2⋅242781625399040 = 485563250798080 is not.

Almost surely, 2^{242781625399040} is an apocalyptic number.

242781625399040 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 242781625399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383431581887760).

242781625399040 is an abundant number, since it is smaller than the sum of its proper divisors (524081538376480).

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

242781625399040 is a wasteful number, since it uses less digits than its factorization.

242781625399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671648 (or 15671627 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 242781625399040 in words is "two hundred forty-two trillion, seven hundred eighty-one billion, six hundred twenty-five million, three hundred ninety-nine thousand, forty".