4133117340 has 240 divisors, whose sum is σ = 14491993824. Its totient is φ = 977356800.

The previous prime is 4133117321. The next prime is 4133117341. The reversal of 4133117340 is 437113314.

4133117340 is a `hidden beast` number, since 4 + 1 + 3 + 311 + 7 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133117341) 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 79 ways as a sum of consecutive naturals, for example, 727792 + ... + 733448.

Almost surely, 2^4133117340 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 4133117340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245996912).

4133117340 is an abundant number, since it is smaller than the sum of its proper divisors (10358876484).

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

4133117340 is a wasteful number, since it uses less digits than its factorization.

4133117340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4133117340 is about 64289.3252414427. The cubic root of 4133117340 is about 1604.8184614308.

The spelling of 4133117340 in words is "four billion, one hundred thirty-three million, one hundred seventeen thousand, three hundred forty".