25450381440 has 1152 divisors, whose sum is σ = 108408456000. Its totient is φ = 5643509760.

The previous prime is 25450381381. The next prime is 25450381441. The reversal of 25450381440 is 4418305452.

It is a happy number.

25450381440 is a `hidden beast` number, since 2 + 5 + 4 + 503 + 8 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25450381395 and 25450381404.

It is not an unprimeable number, because it can be changed into a prime (25450381441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 877599346 + ... + 877599374.

Almost surely, 2^25450381440 is an apocalyptic number.

25450381440 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 25450381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54204228000).

25450381440 is an abundant number, since it is smaller than the sum of its proper divisors (82958074560).

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

25450381440 is an equidigital number, since it uses as much as digits as its factorization.

25450381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 25450381440 its reverse (4418305452), we get a palindrome (29868686892).

The spelling of 25450381440 in words is "twenty-five billion, four hundred fifty million, three hundred eighty-one thousand, four hundred forty".