240224151456 has 72 divisors (see below), whose sum is σ = 705174148224. Its totient is φ = 77491658880.

The previous prime is 240224151413. The next prime is 240224151457. The reversal of 240224151456 is 654151422042.

240224151456 is a `hidden beast` number, since 2 + 402 + 241 + 5 + 1 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 240224151456.

It is not an unprimeable number, because it can be changed into a prime (240224151457) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13444486 + ... + 13462341.

It is an arithmetic number, because the mean of its divisors is an integer number (9794085392).

Almost surely, 2^240224151456 is an apocalyptic number.

It is an amenable number.

240224151456 is an abundant number, since it is smaller than the sum of its proper divisors (464949996768).

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

240224151456 is a wasteful number, since it uses less digits than its factorization.

240224151456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26906874 (or 26906863 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 240224151456 its reverse (654151422042), we get a palindrome (894375573498).

The spelling of 240224151456 in words is "two hundred forty billion, two hundred twenty-four million, one hundred fifty-one thousand, four hundred fifty-six".