240612602040 has 768 divisors, whose sum is σ = 897122304000. Its totient is φ = 55605242880.

The previous prime is 240612602039. The next prime is 240612602077. The reversal of 240612602040 is 40206216042.

240612602040 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 12 + 602 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240612601995 and 240612602013.

It is a congruent number.

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, 502322521 + ... + 502322999.

It is an arithmetic number, because the mean of its divisors is an integer number (1168128000).

Almost surely, 2^240612602040 is an apocalyptic number.

240612602040 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 240612602040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448561152000).

240612602040 is an abundant number, since it is smaller than the sum of its proper divisors (656509701960).

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

240612602040 is a wasteful number, since it uses less digits than its factorization.

240612602040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 240612602040 its reverse (40206216042), we get a palindrome (280818818082).

The spelling of 240612602040 in words is "two hundred forty billion, six hundred twelve million, six hundred two thousand, forty".