240104816640 has 1080 divisors, whose sum is σ = 942915774528. Its totient is φ = 56434360320.

The previous prime is 240104816591. The next prime is 240104816663. The reversal of 240104816640 is 46618401042.

It is a happy number.

240104816640 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 0 + 4 + 8 + 1 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 240104816595 and 240104816604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5108613097 + ... + 5108613143.

Almost surely, 2^240104816640 is an apocalyptic number.

240104816640 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 240104816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471457887264).

240104816640 is an abundant number, since it is smaller than the sum of its proper divisors (702810957888).

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

240104816640 is a wasteful number, since it uses less digits than its factorization.

240104816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 240104816640 in words is "two hundred forty billion, one hundred four million, eight hundred sixteen thousand, six hundred forty".