240816314340 has 360 divisors, whose sum is σ = 897053189760. Its totient is φ = 52144912512.

The previous prime is 240816314327. The next prime is 240816314357. The reversal of 240816314340 is 43413618042.

240816314340 is a `hidden beast` number, since 240 + 8 + 1 + 63 + 14 + 340 = 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 = 240816314295 and 240816314304.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8196757 + ... + 8226083.

It is an arithmetic number, because the mean of its divisors is an integer number (2491814416).

Almost surely, 2^240816314340 is an apocalyptic number.

240816314340 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 240816314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448526594880).

240816314340 is an abundant number, since it is smaller than the sum of its proper divisors (656236875420).

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

240816314340 is a wasteful number, since it uses less digits than its factorization.

240816314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29389 (or 29363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 240816314340 in words is "two hundred forty billion, eight hundred sixteen million, three hundred fourteen thousand, three hundred forty".