4116490800 has 120 divisors (see below), whose sum is σ = 13246485504. Its totient is φ = 1092737280.

The previous prime is 4116490799. The next prime is 4116490883. The reversal of 4116490800 is 80946114.

4116490800 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 tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259909 + ... + 275291.

Almost surely, 2^4116490800 is an apocalyptic number.

4116490800 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 4116490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623242752).

4116490800 is an abundant number, since it is smaller than the sum of its proper divisors (9129994704).

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

4116490800 is a wasteful number, since it uses less digits than its factorization.

4116490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15627 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4116490800 is about 64159.8846632380. The cubic root of 4116490800 is about 1602.6636361076.

The spelling of 4116490800 in words is "four billion, one hundred sixteen million, four hundred ninety thousand, eight hundred".