25625201234040 has 384 divisors, whose sum is σ = 87413148950400. Its totient is φ = 6501400657920.

The previous prime is 25625201234023. The next prime is 25625201234117. The reversal of 25625201234040 is 4043210252652.

25625201234040 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 520 + 123 + 4 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25625201233986 and 25625201234004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595881692 + ... + 1595897748.

It is an arithmetic number, because the mean of its divisors is an integer number (227638408725).

Almost surely, 2^{25625201234040} is an apocalyptic number.

25625201234040 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 25625201234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43706574475200).

25625201234040 is an abundant number, since it is smaller than the sum of its proper divisors (61787947716360).

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

25625201234040 is a wasteful number, since it uses less digits than its factorization.

25625201234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 25625201234040 its reverse (4043210252652), we get a palindrome (29668411486692).

The spelling of 25625201234040 in words is "twenty-five trillion, six hundred twenty-five billion, two hundred one million, two hundred thirty-four thousand, forty".