4133478144 has 72 divisors (see below), whose sum is σ = 11087964160. Its totient is φ = 1366944768.

The previous prime is 4133478133. The next prime is 4133478163. The reversal of 4133478144 is 4418743314.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76347 + ... + 118725.

Almost surely, 2^4133478144 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 4133478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543982080).

4133478144 is an abundant number, since it is smaller than the sum of its proper divisors (6954486016).

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

4133478144 is a wasteful number, since it uses less digits than its factorization.

4133478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42525 (or 42511 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4133478144 is about 64292.1312759190. The cubic root of 4133478144 is about 1604.8651580703.

The spelling of 4133478144 in words is "four billion, one hundred thirty-three million, four hundred seventy-eight thousand, one hundred forty-four".