4096890600 has 144 divisors (see below), whose sum is σ = 13960148160. Its totient is φ = 993168000.

The previous prime is 4096890569. The next prime is 4096890613. The reversal of 4096890600 is 60986904.

4096890600 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 Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44385 + ... + 100815.

Almost surely, 2^4096890600 is an apocalyptic number.

4096890600 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 4096890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980074080).

4096890600 is an abundant number, since it is smaller than the sum of its proper divisors (9863257560).

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

4096890600 is a wasteful number, since it uses less digits than its factorization.

4096890600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56472 (or 56452 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4096890600 is about 64006.9574343290. The cubic root of 4096890600 is about 1600.1159551380.

The spelling of 4096890600 in words is "four billion, ninety-six million, eight hundred ninety thousand, six hundred".