41729994800 has 240 divisors, whose sum is σ = 113080762368. Its totient is φ = 14683468800.

The previous prime is 41729994769. The next prime is 41729994821. The reversal of 41729994800 is 849992714.

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, 45806345 + ... + 45807255.

Almost surely, 2^41729994800 is an apocalyptic number.

41729994800 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 41729994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56540381184).

41729994800 is an abundant number, since it is smaller than the sum of its proper divisors (71350767568).

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

41729994800 is a wasteful number, since it uses less digits than its factorization.

41729994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 41729994800 in words is "forty-one billion, seven hundred twenty-nine million, nine hundred ninety-four thousand, eight hundred".