4054051891890 has 1024 divisors, whose sum is σ = 14917677465600. Its totient is φ = 762602480640.

The previous prime is 4054051891847. The next prime is 4054051891909. The reversal of 4054051891890 is 981981504504.

4054051891890 is a `hidden beast` number, since 4 + 0 + 5 + 40 + 518 + 9 + 1 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1733240341 + ... + 1733242679.

It is an arithmetic number, because the mean of its divisors is an integer number (14568044400).

Almost surely, 2^{4054051891890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054051891890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458838732800).

4054051891890 is an abundant number, since it is smaller than the sum of its proper divisors (10863625573710).

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

4054051891890 is a wasteful number, since it uses less digits than its factorization.

4054051891890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 4054051891890 in words is "four trillion, fifty-four billion, fifty-one million, eight hundred ninety-one thousand, eight hundred ninety".