428486372677440 has 2016 divisors, whose sum is σ = 1958788486182528. Its totient is φ = 88153712640000.

The previous prime is 428486372677267. The next prime is 428486372677481. The reversal of 428486372677440 is 44776273684824.

428486372677440 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 86 + 37 + 2 + 6 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×428486372677440³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4233126030 + ... + 4233227250.

It is an arithmetic number, because the mean of its divisors is an integer number (971621272908).

Almost surely, 2^{428486372677440} is an apocalyptic number.

428486372677440 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 428486372677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979394243091264).

428486372677440 is an abundant number, since it is smaller than the sum of its proper divisors (1530302113505088).

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

428486372677440 is a wasteful number, since it uses less digits than its factorization.

428486372677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101379 (or 101350 counting only the distinct ones).

The product of its (nonzero) digits is 2427715584, while the sum is 72.

The spelling of 428486372677440 in words is "four hundred twenty-eight trillion, four hundred eighty-six billion, three hundred seventy-two million, six hundred seventy-seven thousand, four hundred forty".