25262420040 has 384 divisors, whose sum is σ = 97470172800. Its totient is φ = 5593743360.

The previous prime is 25262420039. The next prime is 25262420089. The reversal of 25262420040 is 4002426252.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25262419986 and 25262420013.

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, 4991031 + ... + 4996089.

It is an arithmetic number, because the mean of its divisors is an integer number (253828575).

Almost surely, 2^25262420040 is an apocalyptic number.

25262420040 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 25262420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48735086400).

25262420040 is an abundant number, since it is smaller than the sum of its proper divisors (72207752760).

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

25262420040 is a wasteful number, since it uses less digits than its factorization.

25262420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 25262420040 its reverse (4002426252), we get a palindrome (29264846292).

The spelling of 25262420040 in words is "twenty-five billion, two hundred sixty-two million, four hundred twenty thousand, forty".