4053318408 has 80 divisors (see below), whose sum is σ = 11545578000. Its totient is φ = 1328193504.

The previous prime is 4053318407. The next prime is 4053318413. The reversal of 4053318408 is 8048133504.

4053318408 is a `hidden beast` number, since 40 + 533 + 1 + 84 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4053318407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14778 + ... + 91241.

It is an arithmetic number, because the mean of its divisors is an integer number (144319725).

Almost surely, 2^4053318408 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 4053318408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772789000).

4053318408 is an abundant number, since it is smaller than the sum of its proper divisors (7492259592).

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

4053318408 is a wasteful number, since it uses less digits than its factorization.

4053318408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106096 (or 106083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4053318408 is about 63665.6768439636. The cubic root of 4053318408 is about 1594.4230848879.

The spelling of 4053318408 in words is "four billion, fifty-three million, three hundred eighteen thousand, four hundred eight".