41753200896 has 567 divisors, whose sum is σ = 140618777187. Its totient is φ = 12358241280.

The previous prime is 41753200877. The next prime is 41753200927. The reversal of 41753200896 is 69800235714.

The square root of 41753200896 is 204336.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 971004651 + ... + 971004693.

It is a 2-persistent number, because it is pandigital, and so is 2⋅41753200896 = 83506401792, but 3⋅41753200896 = 125259602688 is not.

Almost surely, 2^41753200896 is an apocalyptic number.

41753200896 is the 204336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41753200896

41753200896 is an abundant number, since it is smaller than the sum of its proper divisors (98865576291).

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

41753200896 is an frugal number, since it uses more digits than its factorization.

41753200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41753200896 in words is "forty-one billion, seven hundred fifty-three million, two hundred thousand, eight hundred ninety-six".