941645145047040 has 2112 divisors, whose sum is σ = 3979887546286080. Its totient is φ = 201052787834880.

The previous prime is 941645145047021. The next prime is 941645145047041. The reversal of 941645145047040 is 40740541546149.

941645145047040 is a `hidden beast` number, since 9 + 4 + 1 + 6 + 4 + 514 + 50 + 4 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×941645145047040² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941645145047041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2144977551141 + ... + 2144977551579.

It is an arithmetic number, because the mean of its divisors is an integer number (1884416451840).

Almost surely, 2^{941645145047040} is an apocalyptic number.

941645145047040 is a gapful number since it is divisible by the number (90) 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 941645145047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989943773143040).

941645145047040 is an abundant number, since it is smaller than the sum of its proper divisors (3038242401239040).

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

941645145047040 is an equidigital number, since it uses as much as digits as its factorization.

941645145047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 941645145047040 in words is "nine hundred forty-one trillion, six hundred forty-five billion, one hundred forty-five million, forty-seven thousand, forty".