4181802660 has 384 divisors, whose sum is σ = 15524167680. Its totient is φ = 914457600.

The previous prime is 4181802623. The next prime is 4181802671. The reversal of 4181802660 is 662081814.

4181802660 is a `hidden beast` number, since 418 + 180 + 2 + 6 + 60 = 666.

4181802660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 14881720 + ... + 14882000.

It is an arithmetic number, because the mean of its divisors is an integer number (40427520).

Almost surely, 2^4181802660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181802660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762083840).

4181802660 is an abundant number, since it is smaller than the sum of its proper divisors (11342365020).

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

4181802660 is a wasteful number, since it uses less digits than its factorization.

4181802660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4181802660 is about 64666.8590546966. The cubic root of 4181802660 is about 1611.0951051636.

The spelling of 4181802660 in words is "four billion, one hundred eighty-one million, eight hundred two thousand, six hundred sixty".