41020100354142 has 384 divisors, whose sum is σ = 119073418813440. Its totient is φ = 9900541301760.

The previous prime is 41020100354117. The next prime is 41020100354183. The reversal of 41020100354142 is 24145300102014.

41020100354142 is a `hidden beast` number, since 4 + 10 + 2 + 0 + 100 + 3 + 541 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537345408 + ... + 537421740.

It is an arithmetic number, because the mean of its divisors is an integer number (310087028160).

Almost surely, 2^{41020100354142} is an apocalyptic number.

41020100354142 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 41020100354142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59536709406720).

41020100354142 is an abundant number, since it is smaller than the sum of its proper divisors (78053318459298).

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

41020100354142 is a wasteful number, since it uses less digits than its factorization.

41020100354142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76968 (or 76965 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41020100354142 its reverse (24145300102014), we get a palindrome (65165400456156).

The spelling of 41020100354142 in words is "forty-one trillion, twenty billion, one hundred million, three hundred fifty-four thousand, one hundred forty-two".