4046194944000 has 1920 divisors, whose sum is σ = 16748143251840. Its totient is φ = 967458816000.

The previous prime is 4046194943909. The next prime is 4046194944017. The reversal of 4046194944000 is 4494916404.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55427327964 + ... + 55427328036.

It is an arithmetic number, because the mean of its divisors is an integer number (8722991277).

Almost surely, 2^{4046194944000} is an apocalyptic number.

4046194944000 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 4046194944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374071625920).

4046194944000 is an abundant number, since it is smaller than the sum of its proper divisors (12701948307840).

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

4046194944000 is an frugal number, since it uses more digits than its factorization.

4046194944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4046194944000 in words is "four trillion, forty-six billion, one hundred ninety-four million, nine hundred forty-four thousand".