4134000419172 has 84 divisors (see below), whose sum is σ = 11681157670140. Its totient is φ = 1272000117312.

The previous prime is 4134000419167. The next prime is 4134000419179. The reversal of 4134000419172 is 2719140004314.

4134000419172 is a `hidden beast` number, since 41 + 3 + 400 + 0 + 41 + 9 + 172 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2037111071076 + 2096889348096 = 1427274^2 + 1448064^2 .

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 (4134000419179) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54488847 + ... + 54564662.

It is an arithmetic number, because the mean of its divisors is an integer number (139061400835).

Almost surely, 2^{4134000419172} is an apocalyptic number.

It is an amenable number.

4134000419172 is an abundant number, since it is smaller than the sum of its proper divisors (7547157250968).

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

4134000419172 is a wasteful number, since it uses less digits than its factorization.

4134000419172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109053544 (or 109053527 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 4134000419172 in words is "four trillion, one hundred thirty-four billion, four hundred nineteen thousand, one hundred seventy-two".