414431420101 has 8 divisors (see below), whose sum is σ = 417859895808. Its totient is φ = 411016056000.

The previous prime is 414431420089. The next prime is 414431420107. The reversal of 414431420101 is 101024134414.

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

It is a cyclic number.

It is not a de Polignac number, because 414431420101 - 2⁵ = 414431420069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414431420107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3214420 + ... + 3340861.

It is an arithmetic number, because the mean of its divisors is an integer number (52232486976).

Almost surely, 2^414431420101 is an apocalyptic number.

It is an amenable number.

414431420101 is a deficient number, since it is larger than the sum of its proper divisors (3428475707).

414431420101 is a wasteful number, since it uses less digits than its factorization.

414431420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555803.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414431420101 its reverse (101024134414), we get a palindrome (515455554515).

The spelling of 414431420101 in words is "four hundred fourteen billion, four hundred thirty-one million, four hundred twenty thousand, one hundred one".