100041201414 has 128 divisors (see below), whose sum is σ = 282400680960. Its totient is φ = 25494393600.

The previous prime is 100041201343. The next prime is 100041201431. The reversal of 100041201414 is 414102140001.

100041201414 is a `hidden beast` number, since 10 + 0 + 0 + 41 + 201 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6607 + ... + 447354.

It is an arithmetic number, because the mean of its divisors is an integer number (2206255320).

Almost surely, 2^100041201414 is an apocalyptic number.

100041201414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100041201414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141200340480).

100041201414 is an abundant number, since it is smaller than the sum of its proper divisors (182359479546).

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

100041201414 is a wasteful number, since it uses less digits than its factorization.

100041201414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454043 (or 454037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100041201414 its reverse (414102140001), we get a palindrome (514143341415).

The spelling of 100041201414 in words is "one hundred billion, forty-one million, two hundred one thousand, four hundred fourteen".