25905343440 has 320 divisors, whose sum is σ = 88369201152. Its totient is φ = 6256588800.

The previous prime is 25905343349. The next prime is 25905343447. The reversal of 25905343440 is 4434350952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25905343447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8041030 + ... + 8044250.

Almost surely, 2^25905343440 is an apocalyptic number.

25905343440 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 25905343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44184600576).

25905343440 is an abundant number, since it is smaller than the sum of its proper divisors (62463857712).

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

25905343440 is a wasteful number, since it uses less digits than its factorization.

25905343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 25905343440 in words is "twenty-five billion, nine hundred five million, three hundred forty-three thousand, four hundred forty".