4074745960000 has 105 divisors (see below), whose sum is σ = 10105046881941. Its totient is φ = 1629736896000.

The previous prime is 4074745959997. The next prime is 4074745960013. The reversal of 4074745960000 is 695474704.

The square root of 4074745960000 is 2018600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3099487007296 + 975258952704 = 1760536^2 + 987552^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 403714954 + ... + 403725046.

Almost surely, 2^{4074745960000} is an apocalyptic number.

4074745960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4074745960000 is the 2018600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074745960000

4074745960000 is an abundant number, since it is smaller than the sum of its proper divisors (6030300921941).

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

4074745960000 is an frugal number, since it uses more digits than its factorization.

4074745960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20218 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 4074745960000 in words is "four trillion, seventy-four billion, seven hundred forty-five million, nine hundred sixty thousand".