4139867160 has 768 divisors, whose sum is σ = 16982784000. Its totient is φ = 860590080.

The previous prime is 4139867159. The next prime is 4139867161. The reversal of 4139867160 is 617689314.

It is a happy number.

4139867160 is a `hidden beast` number, since 41 + 398 + 67 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (4139867159) and next prime (4139867161).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4139867161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70167211 + ... + 70167269.

It is an arithmetic number, because the mean of its divisors is an integer number (22113000).

Almost surely, 2^4139867160 is an apocalyptic number.

4139867160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4139867160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392000).

4139867160 is an abundant number, since it is smaller than the sum of its proper divisors (12842916840).

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

4139867160 is a wasteful number, since it uses less digits than its factorization.

4139867160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4139867160 is about 64341.7994774781. The cubic root of 4139867160 is about 1605.6915993450.

The spelling of 4139867160 in words is "four billion, one hundred thirty-nine million, eight hundred sixty-seven thousand, one hundred sixty".