4133094336 has 420 divisors, whose sum is σ = 14568284808. Its totient is φ = 1154829312.

The previous prime is 4133094331. The next prime is 4133094337. The reversal of 4133094336 is 6334903314.

4133094336 is a `hidden beast` number, since 4 + 13 + 309 + 4 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4133094336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133094331) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13462695 + ... + 13463001.

Almost surely, 2^4133094336 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 4133094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284142404).

4133094336 is an abundant number, since it is smaller than the sum of its proper divisors (10435190472).

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

4133094336 is a wasteful number, since it uses less digits than its factorization.

4133094336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 4133094336 is about 64289.1463312432. The cubic root of 4133094336 is about 1604.8154840726.

The spelling of 4133094336 in words is "four billion, one hundred thirty-three million, ninety-four thousand, three hundred thirty-six".