8412013280832 has 224 divisors, whose sum is σ = 25598611906560. Its totient is φ = 2388142417920.

The previous prime is 8412013280807. The next prime is 8412013280861. The reversal of 8412013280832 is 2380823102148.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8412013280832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148052173 + ... + 148108979.

It is an arithmetic number, because the mean of its divisors is an integer number (114279517440).

Almost surely, 2^{8412013280832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8412013280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799305953280).

8412013280832 is an abundant number, since it is smaller than the sum of its proper divisors (17186598625728).

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

8412013280832 is a wasteful number, since it uses less digits than its factorization.

8412013280832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57529 (or 57519 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 8412013280832 in words is "eight trillion, four hundred twelve billion, thirteen million, two hundred eighty thousand, eight hundred thirty-two".