100414240432341 has 8 divisors (see below), whose sum is σ = 146057076992544. Its totient is φ = 60857115413520.

The previous prime is 100414240432333. The next prime is 100414240432349. The reversal of 100414240432341 is 143234042414001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100414240432333) and next prime (100414240432349).

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

It is not a de Polignac number, because 100414240432341 - 2³ = 100414240432333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3042855770677 = 100414240432341 / (1 + 0 + 0 + 4 + 1 + 4 + 2 + 4 + 0 + 4 + 3 + 2 + 3 + 4 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414240432349) 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, 1521427885306 + ... + 1521427885371.

It is an arithmetic number, because the mean of its divisors is an integer number (18257134624068).

Almost surely, 2^{100414240432341} is an apocalyptic number.

100414240432341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100414240432341 is a deficient number, since it is larger than the sum of its proper divisors (45642836560203).

100414240432341 is a wasteful number, since it uses less digits than its factorization.

100414240432341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042855770691.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 100414240432341 its reverse (143234042414001), we get a palindrome (243648282846342).

The spelling of 100414240432341 in words is "one hundred trillion, four hundred fourteen billion, two hundred forty million, four hundred thirty-two thousand, three hundred forty-one".