71025444400 has 180 divisors, whose sum is σ = 180104769432. Its totient is φ = 26912399360.

The previous prime is 71025444397. The next prime is 71025444401. The reversal of 71025444400 is 444452017.

It is a super-2 number, since 2×71025444400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71025444401) 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 35 ways as a sum of consecutive naturals, for example, 22639632 + ... + 22642768.

Almost surely, 2^71025444400 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 71025444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90052384716).

71025444400 is an abundant number, since it is smaller than the sum of its proper divisors (109079325032).

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

71025444400 is a wasteful number, since it uses less digits than its factorization.

71025444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

Adding to 71025444400 its reverse (444452017), we get a palindrome (71469896417).

The spelling of 71025444400 in words is "seventy-one billion, twenty-five million, four hundred forty-four thousand, four hundred".