4187117814 has 16 divisors (see below), whose sum is σ = 9135529920. Its totient is φ = 1268823560.

The previous prime is 4187117771. The next prime is 4187117821.

It is a happy number.

4187117814 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4187117814² = 35063911176632277192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31720524 + ... + 31720655.

It is an arithmetic number, because the mean of its divisors is an integer number (570970620).

Almost surely, 2^4187117814 is an apocalyptic number.

4187117814 is an abundant number, since it is smaller than the sum of its proper divisors (4948412106).

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

4187117814 is a wasteful number, since it uses less digits than its factorization.

4187117814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63441195.

The product of its digits is 50176, while the sum is 42.

The square root of 4187117814 is about 64707.9424336766. The cubic root of 4187117814 is about 1611.7773941062. Note that the first 3 decimals are identical.

It can be divided in two parts, 41871 and 17814, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 4187117814 in words is "four billion, one hundred eighty-seven million, one hundred seventeen thousand, eight hundred fourteen".