41129694144 has 336 divisors, whose sum is σ = 149185310976. Its totient is φ = 10522828800.

The previous prime is 41129694143. The next prime is 41129694169. The reversal of 41129694144 is 44149692114.

41129694144 is a `hidden beast` number, since 411 + 2 + 9 + 6 + 94 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41129694144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41129694143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2964664 + ... + 2978504.

Almost surely, 2^41129694144 is an apocalyptic number.

41129694144 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 41129694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592655488).

41129694144 is an abundant number, since it is smaller than the sum of its proper divisors (108055616832).

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

41129694144 is a wasteful number, since it uses less digits than its factorization.

41129694144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13931 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 41129694144 in words is "forty-one billion, one hundred twenty-nine million, six hundred ninety-four thousand, one hundred forty-four".