41014334201130 has 192 divisors, whose sum is σ = 108025533173376. Its totient is φ = 10795555584000.

The previous prime is 41014334201083. The next prime is 41014334201161. The reversal of 41014334201130 is 3110243341014.

41014334201130 is a `hidden beast` number, since 4 + 10 + 1 + 433 + 4 + 201 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41014334201094 and 41014334201103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7270753110 + ... + 7270758750.

It is an arithmetic number, because the mean of its divisors is an integer number (562632985278).

Almost surely, 2^{41014334201130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41014334201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54012766586688).

41014334201130 is an abundant number, since it is smaller than the sum of its proper divisors (67011198972246).

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

41014334201130 is a wasteful number, since it uses less digits than its factorization.

41014334201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41014334201130 its reverse (3110243341014), we get a palindrome (44124577542144).

The spelling of 41014334201130 in words is "forty-one trillion, fourteen billion, three hundred thirty-four million, two hundred one thousand, one hundred thirty".