4180350000 has 360 divisors, whose sum is σ = 14428607760. Its totient is φ = 1041600000.

The previous prime is 4180349977. The next prime is 4180350019. The reversal of 4180350000 is 530814.

It is a super-2 number, since 2×4180350000² = 34950652245000000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134849985 + ... + 134850015.

It is an arithmetic number, because the mean of its divisors is an integer number (40079466).

Almost surely, 2^4180350000 is an apocalyptic number.

4180350000 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 4180350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214303880).

4180350000 is an abundant number, since it is smaller than the sum of its proper divisors (10248257760).

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

4180350000 is an equidigital number, since it uses as much as digits as its factorization.

4180350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4180350000 is about 64655.6262053041. The cubic root of 4180350000 is about 1610.9085313616.

Adding to 4180350000 its reverse (530814), we get a palindrome (4180880814).

The spelling of 4180350000 in words is "four billion, one hundred eighty million, three hundred fifty thousand".