4113740000 has 120 divisors (see below), whose sum is σ = 10266501168. Its totient is φ = 1621760000.

The previous prime is 4113739997. The next prime is 4113740009. The reversal of 4113740000 is 473114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113740009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1418552 + ... + 1421448.

Almost surely, 2^4113740000 is an apocalyptic number.

4113740000 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 4113740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133250584).

4113740000 is an abundant number, since it is smaller than the sum of its proper divisors (6152761168).

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

4113740000 is an equidigital number, since it uses as much as digits as its factorization.

4113740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4113740000 is about 64138.4440098136. Note that the first 3 decimals coincide. The cubic root of 4113740000 is about 1602.3065690724.

The spelling of 4113740000 in words is "four billion, one hundred thirteen million, seven hundred forty thousand".