4141693296 has 200 divisors, whose sum is σ = 12968857440. Its totient is φ = 1268504064.

The previous prime is 4141693291. The next prime is 4141693301. The reversal of 4141693296 is 6923961414.

It is an interprime number because it is at equal distance from previous prime (4141693291) and next prime (4141693301).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141693291) 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 39 ways as a sum of consecutive naturals, for example, 4936045 + ... + 4936883.

Almost surely, 2^4141693296 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 4141693296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484428720).

4141693296 is an abundant number, since it is smaller than the sum of its proper divisors (8827164144).

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

4141693296 is a wasteful number, since it uses less digits than its factorization.

4141693296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4141693296 is about 64355.9888122310. The cubic root of 4141693296 is about 1605.9276600755.

The spelling of 4141693296 in words is "four billion, one hundred forty-one million, six hundred ninety-three thousand, two hundred ninety-six".