428240129040 has 320 divisors, whose sum is σ = 1564928409600. Its totient is φ = 107333807616.

The previous prime is 428240129011. The next prime is 428240129071. The reversal of 428240129040 is 40921042824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428240128986 and 428240129004.

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 63 ways as a sum of consecutive naturals, for example, 5170999 + ... + 5253161.

It is an arithmetic number, because the mean of its divisors is an integer number (4890401280).

Almost surely, 2^428240129040 is an apocalyptic number.

428240129040 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 428240129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782464204800).

428240129040 is an abundant number, since it is smaller than the sum of its proper divisors (1136688280560).

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

428240129040 is a wasteful number, since it uses less digits than its factorization.

428240129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82331 (or 82319 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 428240129040 in words is "four hundred twenty-eight billion, two hundred forty million, one hundred twenty-nine thousand, forty".