40413221331444 has 288 divisors, whose sum is σ = 116541857402880. Its totient is φ = 11713500336384.

The previous prime is 40413221331443. The next prime is 40413221331463. The reversal of 40413221331444 is 44413312231404.

40413221331444 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 322 + 13 + 314 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40413221331399 and 40413221331408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413221331443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4635070917 + ... + 4635079635.

Almost surely, 2^{40413221331444} 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 40413221331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58270928701440).

40413221331444 is an abundant number, since it is smaller than the sum of its proper divisors (76128636071436).

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

40413221331444 is a wasteful number, since it uses less digits than its factorization.

40413221331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15254 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40413221331444 its reverse (44413312231404), we get a palindrome (84826533562848).

The spelling of 40413221331444 in words is "forty trillion, four hundred thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, four hundred forty-four".