25210429440 has 672 divisors, whose sum is σ = 96819598080. Its totient is φ = 5582094336.

The previous prime is 25210429423. The next prime is 25210429459. The reversal of 25210429440 is 4492401252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319119321 + ... + 319119399.

Almost surely, 2^25210429440 is an apocalyptic number.

25210429440 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 25210429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409799040).

25210429440 is an abundant number, since it is smaller than the sum of its proper divisors (71609168640).

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

25210429440 is an equidigital number, since it uses as much as digits as its factorization.

25210429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 25210429440 in words is "twenty-five billion, two hundred ten million, four hundred twenty-nine thousand, four hundred forty".