415225241001 has 48 divisors (see below), whose sum is σ = 616140120960. Its totient is φ = 269369291520.

The previous prime is 415225240993. The next prime is 415225241017. The reversal of 415225241001 is 100142522514.

It is a happy number.

415225241001 is a `hidden beast` number, since 4 + 15 + 22 + 524 + 100 + 1 = 666.

It is not a de Polignac number, because 415225241001 - 2³ = 415225240993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (415225241051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65603605 + ... + 65609933.

It is an arithmetic number, because the mean of its divisors is an integer number (12836252520).

Almost surely, 2^415225241001 is an apocalyptic number.

It is an amenable number.

415225241001 is a deficient number, since it is larger than the sum of its proper divisors (200914879959).

415225241001 is a wasteful number, since it uses less digits than its factorization.

415225241001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 415225241001 its reverse (100142522514), we get a palindrome (515367763515).

The spelling of 415225241001 in words is "four hundred fifteen billion, two hundred twenty-five million, two hundred forty-one thousand, one".