240440020042056 has 768 divisors, whose sum is σ = 685838499840000. Its totient is φ = 70013652065280.

The previous prime is 240440020042039. The next prime is 240440020042093. The reversal of 240440020042056 is 650240020044042.

240440020042056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240440020042056² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168966984561 + ... + 168966985983.

It is an arithmetic number, because the mean of its divisors is an integer number (893018880000).

Almost surely, 2^{240440020042056} 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 240440020042056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342919249920000).

240440020042056 is an abundant number, since it is smaller than the sum of its proper divisors (445398479797944).

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

240440020042056 is a wasteful number, since it uses less digits than its factorization.

240440020042056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 240440020042056 its reverse (650240020044042), we get a palindrome (890680040086098).

The spelling of 240440020042056 in words is "two hundred forty trillion, four hundred forty billion, twenty million, forty-two thousand, fifty-six".