25040334400 has 84 divisors (see below), whose sum is σ = 61708553748. Its totient is φ = 10000906240.

The previous prime is 25040334377. The next prime is 25040334463. The reversal of 25040334400 is 443304052.

It can be written as a sum of positive squares in 6 ways, for example, as 686859264 + 24353475136 = 26208^2 + 156056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071642 + ... + 1094758.

Almost surely, 2^25040334400 is an apocalyptic number.

25040334400 is a gapful number since it is divisible by the number (20) 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 25040334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30854276874).

25040334400 is an abundant number, since it is smaller than the sum of its proper divisors (36668219348).

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

25040334400 is a wasteful number, since it uses less digits than its factorization.

25040334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23816 (or 23801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 25040334400 its reverse (443304052), we get a palindrome (25483638452).

The spelling of 25040334400 in words is "twenty-five billion, forty million, three hundred thirty-four thousand, four hundred".