41397129600 has 384 divisors, whose sum is σ = 142972992000. Its totient is φ = 10507960320.

The previous prime is 41397129589. The next prime is 41397129629. The reversal of 41397129600 is 692179314.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69110101 + ... + 69110699.

It is an arithmetic number, because the mean of its divisors is an integer number (372325500).

Almost surely, 2^41397129600 is an apocalyptic number.

41397129600 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 41397129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71486496000).

41397129600 is an abundant number, since it is smaller than the sum of its proper divisors (101575862400).

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

41397129600 is a wasteful number, since it uses less digits than its factorization.

41397129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 41397129600 in words is "forty-one billion, three hundred ninety-seven million, one hundred twenty-nine thousand, six hundred".