4055093720928 has 288 divisors, whose sum is σ = 12185572220640. Its totient is φ = 1275612364800.

The previous prime is 4055093720879. The next prime is 4055093720981. The reversal of 4055093720928 is 8290273905504.

4055093720928 is a `hidden beast` number, since 40 + 5 + 509 + 3 + 7 + 2 + 0 + 92 + 8 = 666.

4055093720928 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 (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897562676 + ... + 1897564812.

It is an arithmetic number, because the mean of its divisors is an integer number (42311014655).

Almost surely, 2^{4055093720928} is an apocalyptic number.

4055093720928 is a gapful number since it is divisible by the number (48) 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 4055093720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092786110320).

4055093720928 is an abundant number, since it is smaller than the sum of its proper divisors (8130478499712).

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

4055093720928 is a wasteful number, since it uses less digits than its factorization.

4055093720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4055093720928 in words is "four trillion, fifty-five billion, ninety-three million, seven hundred twenty thousand, nine hundred twenty-eight".