941981725200 has 240 divisors, whose sum is σ = 3048153923520. Its totient is φ = 248653916160.

The previous prime is 941981725183. The next prime is 941981725213. The reversal of 941981725200 is 2527189149.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×941981725200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 941981725200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50670307 + ... + 50688893.

It is an arithmetic number, because the mean of its divisors is an integer number (12700641348).

Almost surely, 2^941981725200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 941981725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524076961760).

941981725200 is an abundant number, since it is smaller than the sum of its proper divisors (2106172198320).

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

941981725200 is a wasteful number, since it uses less digits than its factorization.

941981725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19034 (or 19023 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 941981725200 in words is "nine hundred forty-one billion, nine hundred eighty-one million, seven hundred twenty-five thousand, two hundred".