428174013120 has 896 divisors, whose sum is σ = 1661390770176. Its totient is φ = 91325988864.

The previous prime is 428174013107. The next prime is 428174013151. The reversal of 428174013120 is 21310471824.

It is a super-2 number, since 2×428174013120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1545754422 + ... + 1545754698.

Almost surely, 2^428174013120 is an apocalyptic number.

428174013120 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 428174013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830695385088).

428174013120 is an abundant number, since it is smaller than the sum of its proper divisors (1233216757056).

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

428174013120 is a wasteful number, since it uses less digits than its factorization.

428174013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 428174013120 its reverse (21310471824), we get a palindrome (449484484944).

The spelling of 428174013120 in words is "four hundred twenty-eight billion, one hundred seventy-four million, thirteen thousand, one hundred twenty".