41414342101000 has 256 divisors, whose sum is σ = 107486870400000. Its totient is φ = 14808159360000.

The previous prime is 41414342100983. The next prime is 41414342101021. The reversal of 41414342101000 is 10124341414.

It is a super-2 number, since 2×41414342101000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2629641126 + ... + 2629656874.

It is an arithmetic number, because the mean of its divisors is an integer number (419870587500).

Almost surely, 2^{41414342101000} is an apocalyptic number.

41414342101000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41414342101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743435200000).

41414342101000 is an abundant number, since it is smaller than the sum of its proper divisors (66072528299000).

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

41414342101000 is a wasteful number, since it uses less digits than its factorization.

41414342101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19761 (or 19747 counting only the distinct ones).

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

Adding to 41414342101000 its reverse (10124341414), we get a palindrome (41424466442414).

The spelling of 41414342101000 in words is "forty-one trillion, four hundred fourteen billion, three hundred forty-two million, one hundred one thousand".