40321022012304 has 160 divisors (see below), whose sum is σ = 114012824140800. Its totient is φ = 12177550348800.

The previous prime is 40321022012279. The next prime is 40321022012387.

It is a happy number.

40321022012304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40321022012304² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1804142122 + ... + 1804164470.

It is an arithmetic number, because the mean of its divisors is an integer number (712580150880).

Almost surely, 2^{40321022012304} is an apocalyptic number.

40321022012304 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 40321022012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57006412070400).

40321022012304 is an abundant number, since it is smaller than the sum of its proper divisors (73691802128496).

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

40321022012304 is a wasteful number, since it uses less digits than its factorization.

40321022012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33669 (or 33663 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 4032102 and 2012304, that added together give a palindrome (6044406).

The spelling of 40321022012304 in words is "forty trillion, three hundred twenty-one billion, twenty-two million, twelve thousand, three hundred four".