414531133431 has 8 divisors (see below), whose sum is σ = 565561856640. Its totient is φ = 269927249592.

The previous prime is 414531133417. The next prime is 414531133507. The reversal of 414531133431 is 134331135414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414531133431 - 2⁹ = 414531132919 is a prime.

It is a super-4 number, since 4×414531133431⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 414531133392 and 414531133401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414531133031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606709691 + ... + 1606709948.

It is an arithmetic number, because the mean of its divisors is an integer number (70695232080).

Almost surely, 2^414531133431 is an apocalyptic number.

414531133431 is a deficient number, since it is larger than the sum of its proper divisors (151030723209).

414531133431 is a wasteful number, since it uses less digits than its factorization.

414531133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213419685.

The product of its digits is 25920, while the sum is 33.

Adding to 414531133431 its reverse (134331135414), we get a palindrome (548862268845).

The spelling of 414531133431 in words is "four hundred fourteen billion, five hundred thirty-one million, one hundred thirty-three thousand, four hundred thirty-one".