4118601600 has 384 divisors, whose sum is σ = 15302815200. Its totient is φ = 1081589760.

The previous prime is 4118601581. The next prime is 4118601601. The reversal of 4118601600 is 61068114.

4118601600 is a `hidden beast` number, since 41 + 18 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118601601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6306874 + ... + 6307526.

Almost surely, 2^4118601600 is an apocalyptic number.

4118601600 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 4118601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651407600).

4118601600 is an abundant number, since it is smaller than the sum of its proper divisors (11184213600).

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

4118601600 is a wasteful number, since it uses less digits than its factorization.

4118601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4118601600 is about 64176.3320859022. The cubic root of 4118601600 is about 1602.9375202255.

Adding to 4118601600 its reverse (61068114), we get a palindrome (4179669714).

The spelling of 4118601600 in words is "four billion, one hundred eighteen million, six hundred one thousand, six hundred".