4018383323136 has 1280 divisors, whose sum is σ = 15005849886720. Its totient is φ = 1043422248960.

The previous prime is 4018383323117. The next prime is 4018383323153. The reversal of 4018383323136 is 6313233838104.

4018383323136 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 383 + 3 + 231 + 36 = 666.

It is a super-2 number, since 2×4018383323136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4018383323091 and 4018383323100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30674681791 + ... + 30674681921.

It is an arithmetic number, because the mean of its divisors is an integer number (11723320224).

Almost surely, 2^{4018383323136} 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 4018383323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502924943360).

4018383323136 is an abundant number, since it is smaller than the sum of its proper divisors (10987466563584).

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

4018383323136 is a wasteful number, since it uses less digits than its factorization.

4018383323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4018383323136 in words is "four trillion, eighteen billion, three hundred eighty-three million, three hundred twenty-three thousand, one hundred thirty-six".