240353879040 has 1760 divisors, whose sum is σ = 1027207526400. Its totient is φ = 53110702080.

The previous prime is 240353879011. The next prime is 240353879057. The reversal of 240353879040 is 40978353042.

240353879040 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 538 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

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 159 ways as a sum of consecutive naturals, for example, 4073794531 + ... + 4073794589.

It is an arithmetic number, because the mean of its divisors is an integer number (583640640).

Almost surely, 2^240353879040 is an apocalyptic number.

240353879040 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 240353879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513603763200).

240353879040 is an abundant number, since it is smaller than the sum of its proper divisors (786853647360).

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

240353879040 is a wasteful number, since it uses less digits than its factorization.

240353879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 240353879040 in words is "two hundred forty billion, three hundred fifty-three million, eight hundred seventy-nine thousand, forty".