4161366960 has 160 divisors (see below), whose sum is σ = 13130802432. Its totient is φ = 1090053120.

The previous prime is 4161366959. The next prime is 4161366961. The reversal of 4161366960 is 696631614.

It is an interprime number because it is at equal distance from previous prime (4161366959) and next prime (4161366961).

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

It is not an unprimeable number, because it can be changed into a prime (4161366961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3363462 + ... + 3364698.

Almost surely, 2^4161366960 is an apocalyptic number.

4161366960 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 4161366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565401216).

4161366960 is an abundant number, since it is smaller than the sum of its proper divisors (8969435472).

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

4161366960 is a wasteful number, since it uses less digits than its factorization.

4161366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 4161366960 is about 64508.6580235553. The cubic root of 4161366960 is about 1608.4664434800.

The spelling of 4161366960 in words is "four billion, one hundred sixty-one million, three hundred sixty-six thousand, nine hundred sixty".