4118013333504 has 1248 divisors, whose sum is σ = 14812211232000. Its totient is φ = 1118334615552.

The previous prime is 4118013333491. The next prime is 4118013333541. The reversal of 4118013333504 is 4053333108114.

4118013333504 is a `hidden beast` number, since 4 + 1 + 18 + 0 + 133 + 3 + 3 + 504 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 17982590862 + ... + 17982591090.

It is an arithmetic number, because the mean of its divisors is an integer number (11868759000).

Almost surely, 2^{4118013333504} 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 4118013333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406105616000).

4118013333504 is an abundant number, since it is smaller than the sum of its proper divisors (10694197898496).

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

4118013333504 is an equidigital number, since it uses as much as digits as its factorization.

4118013333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4118013333504 in words is "four trillion, one hundred eighteen billion, thirteen million, three hundred thirty-three thousand, five hundred four".