240272111562120 has 768 divisors, whose sum is σ = 893730046809600. Its totient is φ = 55447145349120.

The previous prime is 240272111562113. The next prime is 240272111562121. The reversal of 240272111562120 is 21265111272042.

240272111562120 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 7 + 2 + 1 + 1 + 1 + 5 + 621 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (240272111562121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2929642234 + ... + 2929724246.

It is an arithmetic number, because the mean of its divisors is an integer number (1163710998450).

Almost surely, 2^{240272111562120} is an apocalyptic number.

240272111562120 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 240272111562120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446865023404800).

240272111562120 is an abundant number, since it is smaller than the sum of its proper divisors (653457935247480).

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

240272111562120 is a wasteful number, since it uses less digits than its factorization.

240272111562120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82430 (or 82423 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 240272111562120 in words is "two hundred forty trillion, two hundred seventy-two billion, one hundred eleven million, five hundred sixty-two thousand, one hundred twenty".