4167740160 has 216 divisors, whose sum is σ = 14476744464. Its totient is φ = 1107025920.

The previous prime is 4167740147. The next prime is 4167740177. The reversal of 4167740160 is 610477614.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3812574 + ... + 3813666.

Almost surely, 2^4167740160 is an apocalyptic number.

4167740160 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 4167740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238372232).

4167740160 is an abundant number, since it is smaller than the sum of its proper divisors (10309004304).

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

4167740160 is a wasteful number, since it uses less digits than its factorization.

4167740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4167740160 is about 64558.0371448823. The cubic root of 4167740160 is about 1609.2871553322.

The spelling of 4167740160 in words is "four billion, one hundred sixty-seven million, seven hundred forty thousand, one hundred sixty".