428475875113440 has 1728 divisors, whose sum is σ = 1911272231232000. Its totient is φ = 86625633669120.

The previous prime is 428475875113393. The next prime is 428475875113493. The reversal of 428475875113440 is 44311578574824.

428475875113440 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 7 + 5 + 8 + 75 + 113 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9850224811 + ... + 9850268309.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060319000).

Almost surely, 2^{428475875113440} is an apocalyptic number.

428475875113440 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 428475875113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955636115616000).

428475875113440 is an abundant number, since it is smaller than the sum of its proper divisors (1482796356118560).

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

428475875113440 is a wasteful number, since it uses less digits than its factorization.

428475875113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603 (or 43564 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 428475875113440 in words is "four hundred twenty-eight trillion, four hundred seventy-five billion, eight hundred seventy-five million, one hundred thirteen thousand, four hundred forty".