41952691200 has 528 divisors, whose sum is σ = 160784808320. Its totient is φ = 9448980480.

The previous prime is 41952691169. The next prime is 41952691223. The reversal of 41952691200 is 219625914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39244266 + ... + 39245334.

Almost surely, 2^41952691200 is an apocalyptic number.

41952691200 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 41952691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80392404160).

41952691200 is an abundant number, since it is smaller than the sum of its proper divisors (118832117120).

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

41952691200 is a wasteful number, since it uses less digits than its factorization.

41952691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 41952691200 in words is "forty-one billion, nine hundred fifty-two million, six hundred ninety-one thousand, two hundred".