42671040000 has 200 divisors, whose sum is σ = 142055621400. Its totient is φ = 11378688000.

The previous prime is 42671039989. The next prime is 42671040023. The reversal of 42671040000 is 4017624.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 937776 + ... + 982224.

It is an arithmetic number, because the mean of its divisors is an integer number (710278107).

Almost surely, 2^42671040000 is an apocalyptic number.

42671040000 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 42671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71027810700).

42671040000 is an abundant number, since it is smaller than the sum of its proper divisors (99384581400).

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

42671040000 is an frugal number, since it uses more digits than its factorization.

42671040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44490 (or 44459 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 42671040000 its reverse (4017624), we get a palindrome (42675057624).

The spelling of 42671040000 in words is "forty-two billion, six hundred seventy-one million, forty thousand".