41438100102 has 64 divisors (see below), whose sum is σ = 96283482624. Its totient is φ = 11644047360.

The previous prime is 41438100101. The next prime is 41438100133. The reversal of 41438100102 is 20100183414.

It is a super-2 number, since 2×41438100102² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41438100101) 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 31 ways as a sum of consecutive naturals, for example, 1792288 + ... + 1815260.

It is an arithmetic number, because the mean of its divisors is an integer number (1504429416).

Almost surely, 2^41438100102 is an apocalyptic number.

41438100102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41438100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48141741312).

41438100102 is an abundant number, since it is smaller than the sum of its proper divisors (54845382522).

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

41438100102 is a wasteful number, since it uses less digits than its factorization.

41438100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23693.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41438100102 its reverse (20100183414), we get a palindrome (61538283516).

The spelling of 41438100102 in words is "forty-one billion, four hundred thirty-eight million, one hundred thousand, one hundred two".