16428241560432 has 320 divisors, whose sum is σ = 46651445366400. Its totient is φ = 4951400251392.

The previous prime is 16428241560431. The next prime is 16428241560463. The reversal of 16428241560432 is 23406514282461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16428241560431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2642467788 + ... + 2642474004.

It is an arithmetic number, because the mean of its divisors is an integer number (145785766770).

Almost surely, 2^{16428241560432} is an apocalyptic number.

16428241560432 is a gapful number since it is divisible by the number (12) 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 16428241560432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23325722683200).

16428241560432 is an abundant number, since it is smaller than the sum of its proper divisors (30223203805968).

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

16428241560432 is a wasteful number, since it uses less digits than its factorization.

16428241560432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 16428241560432 in words is "sixteen trillion, four hundred twenty-eight billion, two hundred forty-one million, five hundred sixty thousand, four hundred thirty-two".