407241130275 has 288 divisors, whose sum is σ = 895606566400. Its totient is φ = 183325887360.

The previous prime is 407241130201. The next prime is 407241130379. The reversal of 407241130275 is 572031142704.

407241130275 is a `hidden beast` number, since 40 + 7 + 241 + 1 + 302 + 75 = 666.

It is not a de Polignac number, because 407241130275 - 2¹¹ = 407241128227 is a prime.

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 287 ways as a sum of consecutive naturals, for example, 139608117 + ... + 139611033.

Almost surely, 2^407241130275 is an apocalyptic number.

407241130275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

407241130275 is an abundant number, since it is smaller than the sum of its proper divisors (488365436125).

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

407241130275 is an equidigital number, since it uses as much as digits as its factorization.

407241130275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 407241130275 its reverse (572031142704), we get a palindrome (979272272979).

The spelling of 407241130275 in words is "four hundred seven billion, two hundred forty-one million, one hundred thirty thousand, two hundred seventy-five".