25400042210430 has 320 divisors, whose sum is σ = 68953376435328. Its totient is φ = 6708800609280.

The previous prime is 25400042210399. The next prime is 25400042210441. The reversal of 25400042210430 is 3401224000452.

25400042210430 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 0 + 0 + 4 + 221 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25400042210394 and 25400042210403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50497101559 + ... + 50497102061.

Almost surely, 2^{25400042210430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25400042210430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476688217664).

25400042210430 is an abundant number, since it is smaller than the sum of its proper divisors (43553334224898).

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

25400042210430 is a wasteful number, since it uses less digits than its factorization.

25400042210430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 25400042210430 its reverse (3401224000452), we get a palindrome (28801266210882).

The spelling of 25400042210430 in words is "twenty-five trillion, four hundred billion, forty-two million, two hundred ten thousand, four hundred thirty".