414331004140 has 24 divisors (see below), whose sum is σ = 882014222880. Its totient is φ = 163462094208.

The previous prime is 414331004137. The next prime is 414331004161. The reversal of 414331004140 is 41400133414.

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 7 ways as a sum of consecutive naturals, for example, 141892720 + ... + 141895639.

It is an arithmetic number, because the mean of its divisors is an integer number (36750592620).

Almost surely, 2^414331004140 is an apocalyptic number.

It is an amenable number.

414331004140 is an abundant number, since it is smaller than the sum of its proper divisors (467683218740).

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

414331004140 is a wasteful number, since it uses less digits than its factorization.

414331004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283788441 (or 283788439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414331004140 its reverse (41400133414), we get a palindrome (455731137554).

The spelling of 414331004140 in words is "four hundred fourteen billion, three hundred thirty-one million, four thousand, one hundred forty".