4073963644800 has 1152 divisors, whose sum is σ = 18256983264000. Its totient is φ = 882164183040.

The previous prime is 4073963644771. The next prime is 4073963644823. The reversal of 4073963644800 is 84463693704.

4073963644800 is a `hidden beast` number, since 4 + 0 + 73 + 96 + 3 + 6 + 4 + 480 + 0 = 666.

4073963644800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80413077 + ... + 80463723.

It is an arithmetic number, because the mean of its divisors is an integer number (15848075750).

Almost surely, 2^{4073963644800} is an apocalyptic number.

4073963644800 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 4073963644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128491632000).

4073963644800 is an abundant number, since it is smaller than the sum of its proper divisors (14183019619200).

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

4073963644800 is a wasteful number, since it uses less digits than its factorization.

4073963644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50713 (or 50683 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 4073963644800 in words is "four trillion, seventy-three billion, nine hundred sixty-three million, six hundred forty-four thousand, eight hundred".