4181151744 has 416 divisors, whose sum is σ = 15475092480. Its totient is φ = 1083801600.

The previous prime is 4181151743. The next prime is 4181151757. The reversal of 4181151744 is 4471511814.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4181151699 and 4181151708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181151743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8515339 + ... + 8515829.

Almost surely, 2^4181151744 is an apocalyptic number.

4181151744 is a gapful number since it is divisible by the number (44) 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 4181151744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737546240).

4181151744 is an abundant number, since it is smaller than the sum of its proper divisors (11293940736).

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

4181151744 is a wasteful number, since it uses less digits than its factorization.

4181151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 514 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 4181151744 is about 64661.8260181384. The cubic root of 4181151744 is about 1611.0115094767.

The spelling of 4181151744 in words is "four billion, one hundred eighty-one million, one hundred fifty-one thousand, seven hundred forty-four".