40441012342304 has 288 divisors, whose sum is σ = 100894023014400. Its totient is φ = 15859742976000.

The previous prime is 40441012342259. The next prime is 40441012342307. The reversal of 40441012342304 is 40324321014404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40441012342307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113820929 + ... + 114175679.

It is an arithmetic number, because the mean of its divisors is an integer number (350326468800).

Almost surely, 2^{40441012342304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441012342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50447011507200).

40441012342304 is an abundant number, since it is smaller than the sum of its proper divisors (60453010672096).

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

40441012342304 is a wasteful number, since it uses less digits than its factorization.

40441012342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354936 (or 354921 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40441012342304 its reverse (40324321014404), we get a palindrome (80765333356708).

The spelling of 40441012342304 in words is "forty trillion, four hundred forty-one billion, twelve million, three hundred forty-two thousand, three hundred four".