4054577643270 has 1536 divisors, whose sum is σ = 14859450777600. Its totient is φ = 741494476800.

The previous prime is 4054577643253. The next prime is 4054577643283. The reversal of 4054577643270 is 723467754504.

4054577643270 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 577 + 6 + 43 + 27 + 0 = 666.

4054577643270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 23436864904 + ... + 23436865076.

It is an arithmetic number, because the mean of its divisors is an integer number (9674121600).

Almost surely, 2^{4054577643270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054577643270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429725388800).

4054577643270 is an abundant number, since it is smaller than the sum of its proper divisors (10804873134330).

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

4054577643270 is a wasteful number, since it uses less digits than its factorization.

4054577643270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 4054577643270 in words is "four trillion, fifty-four billion, five hundred seventy-seven million, six hundred forty-three thousand, two hundred seventy".