240661484640 has 1152 divisors, whose sum is σ = 943427616768. Its totient is φ = 57689210880.

The previous prime is 240661484639. The next prime is 240661484663. The reversal of 240661484640 is 46484166042.

240661484640 is a `hidden beast` number, since 2 + 40 + 6 + 6 + 148 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1894972257 + ... + 1894972383.

It is an arithmetic number, because the mean of its divisors is an integer number (818947584).

Almost surely, 2^240661484640 is an apocalyptic number.

240661484640 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 240661484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471713808384).

240661484640 is an abundant number, since it is smaller than the sum of its proper divisors (702766132128).

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

240661484640 is a wasteful number, since it uses less digits than its factorization.

240661484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 240661484640 in words is "two hundred forty billion, six hundred sixty-one million, four hundred eighty-four thousand, six hundred forty".