828429131040 has 576 divisors, whose sum is σ = 3150321672960. Its totient is φ = 182774108160.

The previous prime is 828429131021. The next prime is 828429131071. The reversal of 828429131040 is 40131924828.

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

It is a junction number, because it is equal to n+sod(n) for n = 828429130983 and 828429131001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233951670 + ... + 233955210.

It is an arithmetic number, because the mean of its divisors is an integer number (5469308460).

Almost surely, 2^828429131040 is an apocalyptic number.

828429131040 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 828429131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575160836480).

828429131040 is an abundant number, since it is smaller than the sum of its proper divisors (2321892541920).

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

828429131040 is an equidigital number, since it uses as much as digits as its factorization.

828429131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 828429131040 in words is "eight hundred twenty-eight billion, four hundred twenty-nine million, one hundred thirty-one thousand, forty".