41625240800 has 288 divisors, whose sum is σ = 120145122720. Its totient is φ = 13965619200.

The previous prime is 41625240791. The next prime is 41625240803. The reversal of 41625240800 is 804252614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41625240803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19332524 + ... + 19334676.

It is an arithmetic number, because the mean of its divisors is an integer number (417170565).

Almost surely, 2^41625240800 is an apocalyptic number.

41625240800 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 41625240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60072561360).

41625240800 is an abundant number, since it is smaller than the sum of its proper divisors (78519881920).

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

41625240800 is a wasteful number, since it uses less digits than its factorization.

41625240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 41625240800 in words is "forty-one billion, six hundred twenty-five million, two hundred forty thousand, eight hundred".