40322033022304 has 96 divisors (see below), whose sum is σ = 86958618405120. Its totient is φ = 18252607910400.

The previous prime is 40322033022301. The next prime is 40322033022307.

40322033022304 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40322033022301) and next prime (40322033022307).

It is a super-2 number, since 2×40322033022304² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40322033022301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83358487 + ... + 83840809.

It is an arithmetic number, because the mean of its divisors is an integer number (905818941720).

Almost surely, 2^{40322033022304} is an apocalyptic number.

40322033022304 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 40322033022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43479309202560).

40322033022304 is an abundant number, since it is smaller than the sum of its proper divisors (46636585382816).

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

40322033022304 is a wasteful number, since it uses less digits than its factorization.

40322033022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483324 (or 483316 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 4032203 and 3022304, that added together give a palindrome (7054507).

The spelling of 40322033022304 in words is "forty trillion, three hundred twenty-two billion, thirty-three million, twenty-two thousand, three hundred four".