4186741104 has 270 divisors, whose sum is σ = 14763369816. Its totient is φ = 1103880960.

The previous prime is 4186741099. The next prime is 4186741109. The reversal of 4186741104 is 4011476814.

4186741104 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 an interprime number because it is at equal distance from previous prime (4186741099) and next prime (4186741109).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4186741109) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1190709 + ... + 1194219.

Almost surely, 2^4186741104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4186741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381684908).

4186741104 is an abundant number, since it is smaller than the sum of its proper divisors (10576628712).

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

4186741104 is a wasteful number, since it uses less digits than its factorization.

4186741104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4186741104 is about 64705.0315199676. The cubic root of 4186741104 is about 1611.7290560927.

The spelling of 4186741104 in words is "four billion, one hundred eighty-six million, seven hundred forty-one thousand, one hundred four".