4113695040 has 672 divisors, whose sum is σ = 16949318400. Its totient is φ = 839946240.

The previous prime is 4113695021. The next prime is 4113695083. The reversal of 4113695040 is 405963114.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×4113695040³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4113694992 and 4113695010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132699825 + ... + 132699855.

It is an arithmetic number, because the mean of its divisors is an integer number (25222200).

Almost surely, 2^4113695040 is an apocalyptic number.

4113695040 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 4113695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474659200).

4113695040 is an abundant number, since it is smaller than the sum of its proper divisors (12835623360).

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

4113695040 is a wasteful number, since it uses less digits than its factorization.

4113695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4113695040 is about 64138.0935170356. The cubic root of 4113695040 is about 1602.3007317269.

It can be divided in two parts, 4113 and 695040, that added together give a triangular number (699153 = T₁₁₈₂).

The spelling of 4113695040 in words is "four billion, one hundred thirteen million, six hundred ninety-five thousand, forty".