8412017040 has 240 divisors, whose sum is σ = 32834505600. Its totient is φ = 1890091008.

The previous prime is 8412017021. The next prime is 8412017051. The reversal of 8412017040 is 407102148.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 8412016995 and 8412017013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283216 + ... + 311504.

It is an arithmetic number, because the mean of its divisors is an integer number (136810440).

Almost surely, 2^8412017040 is an apocalyptic number.

8412017040 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 8412017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417252800).

8412017040 is an abundant number, since it is smaller than the sum of its proper divisors (24422488560).

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

8412017040 is a wasteful number, since it uses less digits than its factorization.

8412017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28374 (or 28365 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8412017040 is about 91717.0487968295. The cubic root of 8412017040 is about 2033.7616228214.

Adding to 8412017040 its reverse (407102148), we get a palindrome (8819119188).

It can be divided in two parts, 841201 and 7040, that added together give a square (848241 = 921²).

The spelling of 8412017040 in words is "eight billion, four hundred twelve million, seventeen thousand, forty".