40442255224404 has 192 divisors, whose sum is σ = 106429648066560. Its totient is φ = 11847261888000.

The previous prime is 40442255224183. The next prime is 40442255224451.

40442255224404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3013349614 + ... + 3013363034.

It is an arithmetic number, because the mean of its divisors is an integer number (554321083680).

Almost surely, 2^{40442255224404} is an apocalyptic number.

40442255224404 is a gapful number since it is divisible by the number (44) 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 40442255224404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53214824033280).

40442255224404 is an abundant number, since it is smaller than the sum of its proper divisors (65987392842156).

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

40442255224404 is a wasteful number, since it uses less digits than its factorization.

40442255224404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19902 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

It can be divided in two parts, 4044225 and 5224404, that added together give a palindrome (9268629).

The spelling of 40442255224404 in words is "forty trillion, four hundred forty-two billion, two hundred fifty-five million, two hundred twenty-four thousand, four hundred four".