418525834272 has 384 divisors, whose sum is σ = 1447484774400. Its totient is φ = 102796148736.

The previous prime is 418525834187. The next prime is 418525834283. The reversal of 418525834272 is 272438525814.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9771688 + ... + 9814424.

It is an arithmetic number, because the mean of its divisors is an integer number (3769491600).

Almost surely, 2^418525834272 is an apocalyptic number.

418525834272 is a gapful number since it is divisible by the number (42) 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 418525834272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723742387200).

418525834272 is an abundant number, since it is smaller than the sum of its proper divisors (1028958940128).

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

418525834272 is a wasteful number, since it uses less digits than its factorization.

418525834272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42848 (or 42840 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The spelling of 418525834272 in words is "four hundred eighteen billion, five hundred twenty-five million, eight hundred thirty-four thousand, two hundred seventy-two".