25430940640 has 192 divisors, whose sum is σ = 74233152000. Its totient is φ = 8036775936.

The previous prime is 25430940637. The next prime is 25430940641. The reversal of 25430940640 is 4604903452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 25430940640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25430940641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771211 + ... + 803509.

It is an arithmetic number, because the mean of its divisors is an integer number (386631000).

Almost surely, 2^25430940640 is an apocalyptic number.

25430940640 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 25430940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37116576000).

25430940640 is an abundant number, since it is smaller than the sum of its proper divisors (48802211360).

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

25430940640 is a wasteful number, since it uses less digits than its factorization.

25430940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32377 (or 32369 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 25430940640 in words is "twenty-five billion, four hundred thirty million, nine hundred forty thousand, six hundred forty".