240727061604096 has 288 divisors, whose sum is σ = 755239594188800. Its totient is φ = 75420491489280.

The previous prime is 240727061604089. The next prime is 240727061604121. The reversal of 240727061604096 is 690406160727042.

240727061604096 is a `hidden beast` number, since 2 + 4 + 0 + 7 + 2 + 70 + 6 + 160 + 409 + 6 = 666.

240727061604096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9462036 + ... + 23895276.

Almost surely, 2^{240727061604096} 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 240727061604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377619797094400).

240727061604096 is an abundant number, since it is smaller than the sum of its proper divisors (514512532584704).

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

240727061604096 is a wasteful number, since it uses less digits than its factorization.

240727061604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14433412 (or 14433392 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 240727061604096 in words is "two hundred forty trillion, seven hundred twenty-seven billion, sixty-one million, six hundred four thousand, ninety-six".