829425204400 has 120 divisors (see below), whose sum is σ = 2146404555344. Its totient is φ = 306188467200.

The previous prime is 829425204389. The next prime is 829425204401. The reversal of 829425204400 is 4402524928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (829425204401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32627695 + ... + 32653105.

Almost surely, 2^829425204400 is an apocalyptic number.

829425204400 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 829425204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073202277672).

829425204400 is an abundant number, since it is smaller than the sum of its proper divisors (1316979350944).

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

829425204400 is a wasteful number, since it uses less digits than its factorization.

829425204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31719 (or 31708 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 829425204400 in words is "eight hundred twenty-nine billion, four hundred twenty-five million, two hundred four thousand, four hundred".