42460004000268 has 36 divisors (see below), whose sum is σ = 107329886275248. Its totient is φ = 14153277736800.

The previous prime is 42460004000243. The next prime is 42460004000269. The reversal of 42460004000268 is 86200040006424.

It is a happy number.

42460004000268 is a `hidden beast` number, since 4 + 2 + 4 + 600 + 0 + 40 + 0 + 0 + 2 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (42460004000269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7235193 + ... + 11716143.

It is an arithmetic number, because the mean of its divisors is an integer number (2981385729868).

Almost surely, 2^{42460004000268} is an apocalyptic number.

It is an amenable number.

42460004000268 is an abundant number, since it is smaller than the sum of its proper divisors (64869882274980).

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

42460004000268 is a wasteful number, since it uses less digits than its factorization.

42460004000268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744174 (or 4744169 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42460004000268 in words is "forty-two trillion, four hundred sixty billion, four million, two hundred sixty-eight", and thus it is an aban number.