240125918793600 has 768 divisors, whose sum is σ = 913971589217280. Its totient is φ = 54277581373440.

The previous prime is 240125918793583. The next prime is 240125918793613. The reversal of 240125918793600 is 6397819521042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2421233614 + ... + 2421332786.

It is an arithmetic number, because the mean of its divisors is an integer number (1190067173460).

It is a 1-persistent number, because it is pandigital, but 2⋅240125918793600 = 480251837587200 is not.

Almost surely, 2^{240125918793600} is an apocalyptic number.

240125918793600 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 240125918793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456985794608640).

240125918793600 is an abundant number, since it is smaller than the sum of its proper divisors (673845670423680).

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

240125918793600 is a wasteful number, since it uses less digits than its factorization.

240125918793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99607 (or 99590 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 240125918793600 in words is "two hundred forty trillion, one hundred twenty-five billion, nine hundred eighteen million, seven hundred ninety-three thousand, six hundred".