4054841856000 has 2496 divisors, whose sum is σ = 17190751818240. Its totient is φ = 945959731200.

The previous prime is 4054841855929. The next prime is 4054841856001. The reversal of 4054841856000 is 6581484504.

It is a happy number.

4054841856000 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 84 + 1 + 8 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4054841856001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37200383946 + ... + 37200384054.

It is an arithmetic number, because the mean of its divisors is an integer number (6887320440).

Almost surely, 2^{4054841856000} is an apocalyptic number.

4054841856000 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 4054841856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595375909120).

4054841856000 is an abundant number, since it is smaller than the sum of its proper divisors (13135909962240).

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

4054841856000 is a wasteful number, since it uses less digits than its factorization.

4054841856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 4054841856000 in words is "four trillion, fifty-four billion, eight hundred forty-one million, eight hundred fifty-six thousand".