240727968144 has 100 divisors (see below), whose sum is σ = 696851117424. Its totient is φ = 80229465792.

The previous prime is 240727968133. The next prime is 240727968193. The reversal of 240727968144 is 441869727042.

240727968144 is a `hidden beast` number, since 2 + 407 + 2 + 7 + 96 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10858479 + ... + 10880625.

Almost surely, 2^240727968144 is an apocalyptic number.

240727968144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240727968144 is an abundant number, since it is smaller than the sum of its proper divisors (456123149280).

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

240727968144 is a wasteful number, since it uses less digits than its factorization.

240727968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30554 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 240727968144 in words is "two hundred forty billion, seven hundred twenty-seven million, nine hundred sixty-eight thousand, one hundred forty-four".