40321412304 has 80 divisors (see below), whose sum is σ = 105269304000. Its totient is φ = 13297996800.

The previous prime is 40321412297. The next prime is 40321412323.

40321412304 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11521947 + ... + 11525445.

It is an arithmetic number, because the mean of its divisors is an integer number (1315866300).

Almost surely, 2^40321412304 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 40321412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52634652000).

40321412304 is an abundant number, since it is smaller than the sum of its proper divisors (64947891696).

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

40321412304 is a wasteful number, since it uses less digits than its factorization.

40321412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5982 counting only the distinct ones).

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

The spelling of 40321412304 in words is "forty billion, three hundred twenty-one million, four hundred twelve thousand, three hundred four".