4181103360 has 540 divisors, whose sum is σ = 17424470448. Its totient is φ = 954519552.

The previous prime is 4181103347. The next prime is 4181103389. The reversal of 4181103360 is 633011814.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5079909 + ... + 5080731.

Almost surely, 2^4181103360 is an apocalyptic number.

4181103360 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 4181103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712235224).

4181103360 is an abundant number, since it is smaller than the sum of its proper divisors (13243367088).

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

4181103360 is an equidigital number, since it uses as much as digits as its factorization.

4181103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4181103360 is about 64661.4518859575. The cubic root of 4181103360 is about 1611.0052952813.

The spelling of 4181103360 in words is "four billion, one hundred eighty-one million, one hundred three thousand, three hundred sixty".