4054643360160 has 384 divisors, whose sum is σ = 13323378991104. Its totient is φ = 1035537592320.

The previous prime is 4054643360137. The next prime is 4054643360171. The reversal of 4054643360160 is 610633464504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916715709 + ... + 916720131.

It is an arithmetic number, because the mean of its divisors is an integer number (34696299456).

Almost surely, 2^{4054643360160} is an apocalyptic number.

4054643360160 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 4054643360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661689495552).

4054643360160 is an abundant number, since it is smaller than the sum of its proper divisors (9268735630944).

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

4054643360160 is a wasteful number, since it uses less digits than its factorization.

4054643360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 4054643360160 in words is "four trillion, fifty-four billion, six hundred forty-three million, three hundred sixty thousand, one hundred sixty".