25985341440 has 144 divisors (see below), whose sum is σ = 90060843600. Its totient is φ = 6929399808.

The previous prime is 25985341429. The next prime is 25985341477. The reversal of 25985341440 is 4414358952.

25985341440 is a `hidden beast` number, since 2 + 598 + 5 + 3 + 4 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 48820 + ... + 233139.

It is an arithmetic number, because the mean of its divisors is an integer number (625422525).

Almost surely, 2^25985341440 is an apocalyptic number.

25985341440 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 25985341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45030421800).

25985341440 is an abundant number, since it is smaller than the sum of its proper divisors (64075502160).

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

25985341440 is a wasteful number, since it uses less digits than its factorization.

25985341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281992 (or 281969 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25985341440 in words is "twenty-five billion, nine hundred eighty-five million, three hundred forty-one thousand, four hundred forty".