428944919040 has 960 divisors, whose sum is σ = 1681036156800. Its totient is φ = 100169809920.

The previous prime is 428944919017. The next prime is 428944919099. The reversal of 428944919040 is 40919449824.

It is a happy number.

428944919040 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 449 + 190 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397214567 + ... + 1397214873.

It is an arithmetic number, because the mean of its divisors is an integer number (1751079330).

Almost surely, 2^428944919040 is an apocalyptic number.

428944919040 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 428944919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840518078400).

428944919040 is an abundant number, since it is smaller than the sum of its proper divisors (1252091237760).

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

428944919040 is a wasteful number, since it uses less digits than its factorization.

428944919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 428944919040 in words is "four hundred twenty-eight billion, nine hundred forty-four million, nine hundred nineteen thousand, forty".