4181688240 has 40 divisors (see below), whose sum is σ = 12963234288. Its totient is φ = 1115116800.

The previous prime is 4181688197. The next prime is 4181688241. The reversal of 4181688240 is 428861814.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4181688192 and 4181688201.

It is not an unprimeable number, because it can be changed into a prime (4181688241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8711611 + ... + 8712090.

Almost surely, 2^4181688240 is an apocalyptic number.

4181688240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4181688240 is an abundant number, since it is smaller than the sum of its proper divisors (8781546048).

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

4181688240 is a wasteful number, since it uses less digits than its factorization.

4181688240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17423717 (or 17423711 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 4181688240 is about 64665.9743605553. The cubic root of 4181688240 is about 1611.0804110872.

The spelling of 4181688240 in words is "four billion, one hundred eighty-one million, six hundred eighty-eight thousand, two hundred forty".