240534313551042 has 288 divisors, whose sum is σ = 586891336800384. Its totient is φ = 65523826368000.

The previous prime is 240534313551011. The next prime is 240534313551067. The reversal of 240534313551042 is 240155313435042.

It is a super-2 number, since 2×240534313551042² (a number of 30 digits) contains 22 as substring.

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 = 240534313550985 and 240534313551003.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98539250542 + ... + 98539252982.

It is an arithmetic number, because the mean of its divisors is an integer number (2037817141668).

Almost surely, 2^{240534313551042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240534313551042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293445668400192).

240534313551042 is an abundant number, since it is smaller than the sum of its proper divisors (346357023249342).

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

240534313551042 is a wasteful number, since it uses less digits than its factorization.

240534313551042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 240534313551042 its reverse (240155313435042), we get a palindrome (480689626986084).

The spelling of 240534313551042 in words is "two hundred forty trillion, five hundred thirty-four billion, three hundred thirteen million, five hundred fifty-one thousand, forty-two".