8129106240 has 224 divisors, whose sum is σ = 27519782400. Its totient is φ = 2025947136.

The previous prime is 8129106221. The next prime is 8129106247. The reversal of 8129106240 is 426019218.

It is a super-2 number, since 2×8129106240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8129106247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430009 + ... + 2433351.

Almost surely, 2^8129106240 is an apocalyptic number.

8129106240 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 8129106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759891200).

8129106240 is an abundant number, since it is smaller than the sum of its proper divisors (19390676160).

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

8129106240 is a wasteful number, since it uses less digits than its factorization.

8129106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8129106240 is about 90161.5563308442. The cubic root of 8129106240 is about 2010.7014902569.

The spelling of 8129106240 in words is "eight billion, one hundred twenty-nine million, one hundred six thousand, two hundred forty".