240272712551106 has 96 divisors (see below), whose sum is σ = 524861847490032. Its totient is φ = 79436278333440.

The previous prime is 240272712551083. The next prime is 240272712551111. The reversal of 240272712551106 is 601155217272042.

It is a happy number.

240272712551106 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 7 + 2 + 7 + 125 + 511 + 0 + 6 = 666.

240272712551106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 233640671225481 + 6632041325625 = 15285309^2 + 2575275^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344507386 + ... + 2344609866.

Almost surely, 2^{240272712551106} is an apocalyptic number.

240272712551106 is an abundant number, since it is smaller than the sum of its proper divisors (284589134938926).

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

240272712551106 is a wasteful number, since it uses less digits than its factorization.

240272712551106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104468 (or 104465 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 240272712551106 in words is "two hundred forty trillion, two hundred seventy-two billion, seven hundred twelve million, five hundred fifty-one thousand, one hundred six".