40322323320440 has 96 divisors (see below), whose sum is σ = 105575202392400. Its totient is φ = 13819859020800.

The previous prime is 40322323320437. The next prime is 40322323320443. The reversal of 40322323320440 is 4402332322304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40322323320437) and next prime (40322323320443).

It is a junction number, because it is equal to n+sod(n) for n = 40322323320397 and 40322323320406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40322323320443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1817591 + ... + 9162329.

Almost surely, 2^{40322323320440} is an apocalyptic number.

40322323320440 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 40322323320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52787601196200).

40322323320440 is an abundant number, since it is smaller than the sum of its proper divisors (65252879071960).

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

40322323320440 is a wasteful number, since it uses less digits than its factorization.

40322323320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347565 (or 7347554 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 40322323320440 its reverse (4402332322304), we get a palindrome (44724655642744).

The spelling of 40322323320440 in words is "forty trillion, three hundred twenty-two billion, three hundred twenty-three million, three hundred twenty thousand, four hundred forty".