42240261125016 has 96 divisors (see below), whose sum is σ = 126396689384160. Its totient is φ = 12675679374336.

The previous prime is 42240261124987. The next prime is 42240261125017. The reversal of 42240261125016 is 61052116204224.

42240261125016 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 2 + 611 + 25 + 0 + 16 = 666.

42240261125016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240261125017) 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 23 ways as a sum of consecutive naturals, for example, 750189615 + ... + 750245918.

It is an arithmetic number, because the mean of its divisors is an integer number (1316632181085).

Almost surely, 2^{42240261125016} is an apocalyptic number.

42240261125016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42240261125016 is an abundant number, since it is smaller than the sum of its proper divisors (84156428259144).

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

42240261125016 is a wasteful number, since it uses less digits than its factorization.

42240261125016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500435585 (or 1500435578 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42240261125016 in words is "forty-two trillion, two hundred forty billion, two hundred sixty-one million, one hundred twenty-five thousand, sixteen".