240727395456 has 48 divisors (see below), whose sum is σ = 692718159510. Its totient is φ = 80242464768.

The previous prime is 240727395427. The next prime is 240727395457. The reversal of 240727395456 is 654593727042.

240727395456 is a `hidden beast` number, since 2 + 40 + 7 + 27 + 39 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179132097600 + 61595297856 = 423240^2 + 248184^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (240727395457) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 104481225 + ... + 104483528.

Almost surely, 2^240727395456 is an apocalyptic number.

It is an amenable number.

240727395456 is an abundant number, since it is smaller than the sum of its proper divisors (451990764054).

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

240727395456 is a wasteful number, since it uses less digits than its factorization.

240727395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208964773 (or 208964758 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 240727395456 in words is "two hundred forty billion, seven hundred twenty-seven million, three hundred ninety-five thousand, four hundred fifty-six".