240261068544 has 288 divisors, whose sum is σ = 779389954560. Its totient is φ = 64139821056.

The previous prime is 240261068539. The next prime is 240261068587. The reversal of 240261068544 is 445860162042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 240261068496 and 240261068505.

It is a congruent number.

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, 12694032 + ... + 12712944.

It is an arithmetic number, because the mean of its divisors is an integer number (2706215120).

Almost surely, 2^240261068544 is an apocalyptic number.

240261068544 is a gapful number since it is divisible by the number (24) 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 240261068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389694977280).

240261068544 is an abundant number, since it is smaller than the sum of its proper divisors (539128886016).

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

240261068544 is a wasteful number, since it uses less digits than its factorization.

240261068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095 (or 19081 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 240261068544 in words is "two hundred forty billion, two hundred sixty-one million, sixty-eight thousand, five hundred forty-four".