415141031025 has 72 divisors (see below), whose sum is σ = 861756165504. Its totient is φ = 187105766400.

The previous prime is 415141031009. The next prime is 415141031077. The reversal of 415141031025 is 520130141514.

415141031025 is a `hidden beast` number, since 41 + 514 + 1 + 0 + 3 + 102 + 5 = 666.

It is not a de Polignac number, because 415141031025 - 2⁴ = 415141031009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415141031025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1744384 + ... + 1968033.

It is an arithmetic number, because the mean of its divisors is an integer number (11968835632).

Almost surely, 2^415141031025 is an apocalyptic number.

415141031025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

415141031025 is an abundant number, since it is smaller than the sum of its proper divisors (446615134479).

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

415141031025 is a wasteful number, since it uses less digits than its factorization.

415141031025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712511 (or 3712503 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 415141031025 its reverse (520130141514), we get a palindrome (935271172539).

The spelling of 415141031025 in words is "four hundred fifteen billion, one hundred forty-one million, thirty-one thousand, twenty-five".