829130414112 has 1920 divisors, whose sum is σ = 3499798579200. Its totient is φ = 186974853120.

The previous prime is 829130414071. The next prime is 829130414113. The reversal of 829130414112 is 211414031928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (829130414113) 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, 5964966939 + ... + 5964967077.

It is an arithmetic number, because the mean of its divisors is an integer number (1822811760).

Almost surely, 2^829130414112 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 829130414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749899289600).

829130414112 is an abundant number, since it is smaller than the sum of its proper divisors (2670668165088).

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

829130414112 is a wasteful number, since it uses less digits than its factorization.

829130414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

It can be divided in two parts, 8291 and 30414112, that added together give a palindrome (30422403).

The spelling of 829130414112 in words is "eight hundred twenty-nine billion, one hundred thirty million, four hundred fourteen thousand, one hundred twelve".