240261007104 has 108 divisors (see below), whose sum is σ = 693186421200. Its totient is φ = 80034435072.

The previous prime is 240261007093. The next prime is 240261007117. The reversal of 240261007104 is 401700162042.

240261007104 is a `hidden beast` number, since 2 + 40 + 2 + 610 + 0 + 7 + 1 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3558492 + ... + 3625380.

Almost surely, 2^240261007104 is an apocalyptic number.

240261007104 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 240261007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346593210600).

240261007104 is an abundant number, since it is smaller than the sum of its proper divisors (452925414096).

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

240261007104 is a wasteful number, since it uses less digits than its factorization.

240261007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68470 (or 68453 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 240261007104 its reverse (401700162042), we get a palindrome (641961169146).

The spelling of 240261007104 in words is "two hundred forty billion, two hundred sixty-one million, seven thousand, one hundred four".