4138171426080 has 144 divisors (see below), whose sum is σ = 14123590790400. Its totient is φ = 1103349778944.

The previous prime is 4138171425929. The next prime is 4138171426087. The reversal of 4138171426080 is 806241718314.

4138171426080 is a `hidden beast` number, since 4 + 1 + 3 + 81 + 71 + 426 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4138171426087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9726289 + ... + 10142831.

It is an arithmetic number, because the mean of its divisors is an integer number (98080491600).

Almost surely, 2^{4138171426080} is an apocalyptic number.

4138171426080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138171426080 is an abundant number, since it is smaller than the sum of its proper divisors (9985419364320).

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

4138171426080 is a wasteful number, since it uses less digits than its factorization.

4138171426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423463 (or 423452 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4138171426080 in words is "four trillion, one hundred thirty-eight billion, one hundred seventy-one million, four hundred twenty-six thousand, eighty".