941329811040 has 192 divisors, whose sum is σ = 3032308742400. Its totient is φ = 245386778624.

The previous prime is 941329811027. The next prime is 941329811057. The reversal of 941329811040 is 40118923149.

It is a super-2 number, since 2×941329811040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 941329810983 and 941329811001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4976434 + ... + 5162126.

It is an arithmetic number, because the mean of its divisors is an integer number (15793274700).

Almost surely, 2^941329811040 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 941329811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516154371200).

941329811040 is an abundant number, since it is smaller than the sum of its proper divisors (2090978931360).

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

941329811040 is a wasteful number, since it uses less digits than its factorization.

941329811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185949 (or 185941 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 941329811040 in words is "nine hundred forty-one billion, three hundred twenty-nine million, eight hundred eleven thousand, forty".