25124406042400 has 72 divisors (see below), whose sum is σ = 70097092873920. Its totient is φ = 8614082069760.

The previous prime is 25124406042397. The next prime is 25124406042419. The reversal of 25124406042400 is 424060442152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2243244940 + ... + 2243256139.

It is an arithmetic number, because the mean of its divisors is an integer number (973570734360).

Almost surely, 2^{25124406042400} is an apocalyptic number.

25124406042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25124406042400 is an abundant number, since it is smaller than the sum of its proper divisors (44972686831520).

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

25124406042400 is a wasteful number, since it uses less digits than its factorization.

25124406042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486501106 (or 4486501093 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 25124406042400 its reverse (424060442152), we get a palindrome (25548466484552).

The spelling of 25124406042400 in words is "twenty-five trillion, one hundred twenty-four billion, four hundred six million, forty-two thousand, four hundred".