41134129344 has 896 divisors, whose sum is σ = 162221875200. Its totient is φ = 9898536960.

The previous prime is 41134129331. The next prime is 41134129349. The reversal of 41134129344 is 44392143114.

41134129344 is a `hidden beast` number, since 4 + 113 + 412 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41134129299 and 41134129308.

It is not an unprimeable number, because it can be changed into a prime (41134129349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133987239 + ... + 133987545.

It is an arithmetic number, because the mean of its divisors is an integer number (181051200).

Almost surely, 2^41134129344 is an apocalyptic number.

41134129344 is a gapful number since it is divisible by the number (44) 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 41134129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81110937600).

41134129344 is an abundant number, since it is smaller than the sum of its proper divisors (121087745856).

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

41134129344 is a wasteful number, since it uses less digits than its factorization.

41134129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

It can be divided in two parts, 4113412 and 9344, that added together give a triangular number (4122756 = T₂₈₇₁).

The spelling of 41134129344 in words is "forty-one billion, one hundred thirty-four million, one hundred twenty-nine thousand, three hundred forty-four".