40442442112000 has 352 divisors, whose sum is σ = 103814746341696. Its totient is φ = 15710478336000.

The previous prime is 40442442111937. The next prime is 40442442112057. The reversal of 40442442112000 is 21124424404.

It is a happy number.

It is a super-2 number, since 2×40442442112000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40442442112000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2637944335 + ... + 2637959665.

Almost surely, 2^{40442442112000} is an apocalyptic number.

40442442112000 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 40442442112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51907373170848).

40442442112000 is an abundant number, since it is smaller than the sum of its proper divisors (63372304229696).

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

40442442112000 is a wasteful number, since it uses less digits than its factorization.

40442442112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 40442442112000 its reverse (21124424404), we get a palindrome (40463566536404).

The spelling of 40442442112000 in words is "forty trillion, four hundred forty-two billion, four hundred forty-two million, one hundred twelve thousand".