4571141106000 has 640 divisors, whose sum is σ = 18091127808000. Its totient is φ = 989832614400.

The previous prime is 4571141105987. The next prime is 4571141106067. The reversal of 4571141106000 is 6011411754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39043549 + ... + 39160451.

It is an arithmetic number, because the mean of its divisors is an integer number (28267387200).

Almost surely, 2^{4571141106000} is an apocalyptic number.

4571141106000 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 4571141106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9045563904000).

4571141106000 is an abundant number, since it is smaller than the sum of its proper divisors (13519986702000).

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

4571141106000 is a wasteful number, since it uses less digits than its factorization.

4571141106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116969 (or 116939 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 4571141106000 its reverse (6011411754), we get a palindrome (4577152517754).

The spelling of 4571141106000 in words is "four trillion, five hundred seventy-one billion, one hundred forty-one million, one hundred six thousand".