240747113114144 has 192 divisors, whose sum is σ = 585426001305600. Its totient is φ = 94901949112320.

The previous prime is 240747113114059. The next prime is 240747113114171. The reversal of 240747113114144 is 441411311747042.

It is a junction number, because it is equal to n+sod(n) for n = 240747113114095 and 240747113114104.

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, 1183227332 + ... + 1183430780.

It is an arithmetic number, because the mean of its divisors is an integer number (3049093756800).

Almost surely, 2^{240747113114144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240747113114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292713000652800).

240747113114144 is an abundant number, since it is smaller than the sum of its proper divisors (344678888191456).

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

240747113114144 is a wasteful number, since it uses less digits than its factorization.

240747113114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204923 (or 204915 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 240747113114144 in words is "two hundred forty trillion, seven hundred forty-seven billion, one hundred thirteen million, one hundred fourteen thousand, one hundred forty-four".