240323134464 has 352 divisors, whose sum is σ = 819690854400. Its totient is φ = 68132413440.

The previous prime is 240323134453. The next prime is 240323134481. The reversal of 240323134464 is 464431323042.

240323134464 is a `hidden beast` number, since 2 + 40 + 3 + 23 + 134 + 464 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 25348477 + ... + 25357955.

It is an arithmetic number, because the mean of its divisors is an integer number (2328667200).

Almost surely, 2^240323134464 is an apocalyptic number.

240323134464 is a gapful number since it is divisible by the number (24) 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 240323134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409845427200).

240323134464 is an abundant number, since it is smaller than the sum of its proper divisors (579367719936).

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

240323134464 is a wasteful number, since it uses less digits than its factorization.

240323134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 240323134464 in words is "two hundred forty billion, three hundred twenty-three million, one hundred thirty-four thousand, four hundred sixty-four".