4120534534400 has 108 divisors (see below), whose sum is σ = 10202581896612. Its totient is φ = 1647629598720.

The previous prime is 4120534534397. The next prime is 4120534534411. The reversal of 4120534534400 is 44354350214.

It can be written as a sum of positive squares in 6 ways, for example, as 24285184 + 4120510249216 = 4928^2 + 2029904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18172124 + ... + 18397476.

Almost surely, 2^{4120534534400} is an apocalyptic number.

4120534534400 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 4120534534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101290948306).

4120534534400 is an abundant number, since it is smaller than the sum of its proper divisors (6082047362212).

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

4120534534400 is a wasteful number, since it uses less digits than its factorization.

4120534534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228236 (or 228217 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 4120534534400 its reverse (44354350214), we get a palindrome (4164888884614).

The spelling of 4120534534400 in words is "four trillion, one hundred twenty billion, five hundred thirty-four million, five hundred thirty-four thousand, four hundred".