4136634880 has 200 divisors, whose sum is σ = 11587770612. Its totient is φ = 1416167424.

The previous prime is 4136634869. The next prime is 4136634917. The reversal of 4136634880 is 884366314.

It can be written as a sum of positive squares in 2 ways, for example, as 4032758016 + 103876864 = 63504^2 + 10192^2 .

It is a super-2 number, since 2×4136634880² = 34223496260865228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6146224 + ... + 6146896.

Almost surely, 2^4136634880 is an apocalyptic number.

4136634880 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 4136634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793885306).

4136634880 is an abundant number, since it is smaller than the sum of its proper divisors (7451135732).

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

4136634880 is an frugal number, since it uses more digits than its factorization.

4136634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 4136634880 is about 64316.6765310522. The cubic root of 4136634880 is about 1605.2735991234.

The spelling of 4136634880 in words is "four billion, one hundred thirty-six million, six hundred thirty-four thousand, eight hundred eighty".