40003311330004 has 48 divisors (see below), whose sum is σ = 78240576318912. Its totient is φ = 17738028000000.

The previous prime is 40003311330001. The next prime is 40003311330007.

It is a happy number.

40003311330004 is nontrivially palindromic in base 10.

40003311330004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40003311330001) and next prime (40003311330007).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40003311330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16741579 + ... + 18981229.

It is an arithmetic number, because the mean of its divisors is an integer number (1630012006644).

Almost surely, 2^{40003311330004} is an apocalyptic number.

40003311330004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40003311330004 is a deficient number, since it is larger than the sum of its proper divisors (38237264988908).

40003311330004 is a wasteful number, since it uses less digits than its factorization.

40003311330004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249608 (or 2249606 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 4000331 and 1330004, that added together give a palindrome (5330335).

The spelling of 40003311330004 in words is "forty trillion, three billion, three hundred eleven million, three hundred thirty thousand, four".