428394423589440 has 1120 divisors, whose sum is σ = 1822107229885440. Its totient is φ = 84331821772800.

The previous prime is 428394423589367. The next prime is 428394423589453. The reversal of 428394423589440 is 44985324493824.

It is a tau number, because it is divible by the number of its divisors (1120).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 481292005 + ... + 482181275.

Almost surely, 2^{428394423589440} is an apocalyptic number.

428394423589440 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 428394423589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911053614942720).

428394423589440 is an abundant number, since it is smaller than the sum of its proper divisors (1393712806296000).

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

428394423589440 is a wasteful number, since it uses less digits than its factorization.

428394423589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889349 (or 889318 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 69.

The spelling of 428394423589440 in words is "four hundred twenty-eight trillion, three hundred ninety-four billion, four hundred twenty-three million, five hundred eighty-nine thousand, four hundred forty".