428169322240 has 432 divisors, whose sum is σ = 1203349615776. Its totient is φ = 145347051520.

The previous prime is 428169322211. The next prime is 428169322267. The reversal of 428169322240 is 42223961824.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 360714927 + ... + 360716113.

It is an arithmetic number, because the mean of its divisors is an integer number (2785531518).

Almost surely, 2^428169322240 is an apocalyptic number.

428169322240 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 428169322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601674807888).

428169322240 is an abundant number, since it is smaller than the sum of its proper divisors (775180293536).

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

428169322240 is a wasteful number, since it uses less digits than its factorization.

428169322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 428169322240 in words is "four hundred twenty-eight billion, one hundred sixty-nine million, three hundred twenty-two thousand, two hundred forty".