40442042000 has 80 divisors (see below), whose sum is σ = 100943491584. Its totient is φ = 15654960000.

The previous prime is 40442041993. The next prime is 40442042009. The reversal of 40442042000 is 24024404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×40442042000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40442042009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264146 + ... + 388145.

Almost surely, 2^40442042000 is an apocalyptic number.

40442042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442042000 is an abundant number, since it is smaller than the sum of its proper divisors (60501449584).

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

40442042000 is a wasteful number, since it uses less digits than its factorization.

40442042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652345 (or 652329 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40442042000 its reverse (24024404), we get a palindrome (40466066404).

The spelling of 40442042000 in words is "forty billion, four hundred forty-two million, forty-two thousand".