4055005032444 has 72 divisors (see below), whose sum is σ = 11091951561600. Its totient is φ = 1292900148144.

The previous prime is 4055005032409. The next prime is 4055005032497. The reversal of 4055005032444 is 4442305005504.

4055005032444 is a `hidden beast` number, since 40 + 5 + 50 + 0 + 503 + 24 + 44 = 666.

4055005032444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4055005032444² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4055005032399 and 4055005032408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90669294 + ... + 90714005.

It is an arithmetic number, because the mean of its divisors is an integer number (154054882800).

Almost surely, 2^{4055005032444} is an apocalyptic number.

It is an amenable number.

4055005032444 is an abundant number, since it is smaller than the sum of its proper divisors (7036946529156).

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

4055005032444 is a wasteful number, since it uses less digits than its factorization.

4055005032444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181383341 (or 181383327 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 4055005032444 in words is "four trillion, fifty-five billion, five million, thirty-two thousand, four hundred forty-four".