4003400400404 has 12 divisors (see below), whose sum is σ = 7005980387700. Its totient is φ = 2001691718208.

The previous prime is 4003400400403. The next prime is 4003400400407. The reversal of 4003400400404 is 4040040043004.

It can be written as a sum of positive squares in 2 ways, for example, as 3244501562500 + 758898837904 = 1801250^2 + 871148^2 .

It is a super-3 number, since 3×4003400400404³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4003400400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003400400403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 991769 + ... + 2998400.

It is an arithmetic number, because the mean of its divisors is an integer number (583831698975).

Almost surely, 2^{4003400400404} is an apocalyptic number.

It is an amenable number.

4003400400404 is a deficient number, since it is larger than the sum of its proper divisors (3002579987296).

4003400400404 is a wasteful number, since it uses less digits than its factorization.

4003400400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241002 (or 4241000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 4003400400404 its reverse (4040040043004), we get a palindrome (8043440443408).

The spelling of 4003400400404 in words is "four trillion, three billion, four hundred million, four hundred thousand, four hundred four".