41330129400 has 288 divisors, whose sum is σ = 162320146560. Its totient is φ = 9227070720.

The previous prime is 41330129389. The next prime is 41330129419. The reversal of 41330129400 is 492103314.

41330129400 is a `hidden beast` number, since 4 + 133 + 0 + 129 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503659 + ... + 579941.

It is an arithmetic number, because the mean of its divisors is an integer number (563611620).

Almost surely, 2^41330129400 is an apocalyptic number.

41330129400 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 41330129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81160073280).

41330129400 is an abundant number, since it is smaller than the sum of its proper divisors (120990017160).

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

41330129400 is a wasteful number, since it uses less digits than its factorization.

41330129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76355 (or 76343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 41330129400 in words is "forty-one billion, three hundred thirty million, one hundred twenty-nine thousand, four hundred".