8435282010480 has 1600 divisors, whose sum is σ = 35359744831488. Its totient is φ = 1842431754240.

The previous prime is 8435282010451. The next prime is 8435282010481. The reversal of 8435282010480 is 840102825348.

8435282010480 is a `hidden beast` number, since 8 + 43 + 52 + 82 + 0 + 1 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8435282010481) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2338584837 + ... + 2338588443.

Almost surely, 2^{8435282010480} is an apocalyptic number.

8435282010480 is a gapful number since it is divisible by the number (80) 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 8435282010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679872415744).

8435282010480 is an abundant number, since it is smaller than the sum of its proper divisors (26924462821008).

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

8435282010480 is a wasteful number, since it uses less digits than its factorization.

8435282010480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 8435282010480 in words is "eight trillion, four hundred thirty-five billion, two hundred eighty-two million, ten thousand, four hundred eighty".