4118453932320 has 576 divisors, whose sum is σ = 18207912602880. Its totient is φ = 823213891584.

The previous prime is 4118453932309. The next prime is 4118453932321. The reversal of 4118453932320 is 232393548114.

It is a happy number.

4118453932320 is a `hidden beast` number, since 4 + 1 + 1 + 84 + 539 + 3 + 2 + 32 + 0 = 666.

It is a super-2 number, since 2×4118453932320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4118453932321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662682 + ... + 3316838.

It is an arithmetic number, because the mean of its divisors is an integer number (31610959380).

Almost surely, 2^{4118453932320} is an apocalyptic number.

4118453932320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4118453932320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103956301440).

4118453932320 is an abundant number, since it is smaller than the sum of its proper divisors (14089458670560).

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

4118453932320 is a wasteful number, since it uses less digits than its factorization.

4118453932320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654217 (or 1654206 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4118453932320 in words is "four trillion, one hundred eighteen billion, four hundred fifty-three million, nine hundred thirty-two thousand, three hundred twenty".