240306413364 has 240 divisors, whose sum is σ = 650723673600. Its totient is φ = 77288408064.

The previous prime is 240306413359. The next prime is 240306413371. The reversal of 240306413364 is 463314603042.

240306413364 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 0 + 641 + 3 + 3 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 617754082 + ... + 617754470.

It is an arithmetic number, because the mean of its divisors is an integer number (2711348640).

Almost surely, 2^240306413364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240306413364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325361836800).

240306413364 is an abundant number, since it is smaller than the sum of its proper divisors (410417260236).

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

240306413364 is a wasteful number, since it uses less digits than its factorization.

240306413364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 240306413364 in words is "two hundred forty billion, three hundred six million, four hundred thirteen thousand, three hundred sixty-four".