40023311332004 has 192 divisors, whose sum is σ = 95249030553600. Its totient is φ = 14209131456000.

The previous prime is 40023311331989. The next prime is 40023311332009.

40023311332004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40023311332009) 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 63 ways as a sum of consecutive naturals, for example, 2562468107 + ... + 2562483725.

It is an arithmetic number, because the mean of its divisors is an integer number (496088700800).

Almost surely, 2^{40023311332004} is an apocalyptic number.

40023311332004 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 40023311332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47624515276800).

40023311332004 is an abundant number, since it is smaller than the sum of its proper divisors (55225719221596).

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

40023311332004 is a wasteful number, since it uses less digits than its factorization.

40023311332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23834 (or 23832 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4002331 and 1332004, that added together give a palindrome (5334335).

The spelling of 40023311332004 in words is "forty trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, four".