825482291400 has 1440 divisors, whose sum is σ = 3310117212600. Its totient is φ = 190207180800.

The previous prime is 825482291377. The next prime is 825482291401. The reversal of 825482291400 is 4192284528.

825482291400 is a `hidden beast` number, since 8 + 2 + 5 + 482 + 29 + 140 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 259836906564 + 565645384836 = 509742^2 + 752094^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (825482291401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2937659260 + ... + 2937659540.

Almost surely, 2^825482291400 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 825482291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655058606300).

825482291400 is an abundant number, since it is smaller than the sum of its proper divisors (2484634921200).

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

825482291400 is a wasteful number, since it uses less digits than its factorization.

825482291400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 825482291400 in words is "eight hundred twenty-five billion, four hundred eighty-two million, two hundred ninety-one thousand, four hundred".