25200334040 has 128 divisors (see below), whose sum is σ = 67720181760. Its totient is φ = 8259439104.

The previous prime is 25200334037. The next prime is 25200334079. The reversal of 25200334040 is 4043300252.

It is a junction number, because it is equal to n+sod(n) for n = 25200333997 and 25200334015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543614 + ... + 588146.

It is an arithmetic number, because the mean of its divisors is an integer number (529063920).

Almost surely, 2^25200334040 is an apocalyptic number.

25200334040 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 25200334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860090880).

25200334040 is an abundant number, since it is smaller than the sum of its proper divisors (42519847720).

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

25200334040 is a wasteful number, since it uses less digits than its factorization.

25200334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44641 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 25200334040 its reverse (4043300252), we get a palindrome (29243634292).

The spelling of 25200334040 in words is "twenty-five billion, two hundred million, three hundred thirty-four thousand, forty".