2004402414431 has 8 divisors (see below), whose sum is σ = 2069100837504. Its totient is φ = 1939706508960.

The previous prime is 2004402414401. The next prime is 2004402414451. The reversal of 2004402414431 is 1344142044002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004402414431 - 2¹⁸ = 2004402152287 is a prime.

It is a super-3 number, since 3×2004402414431³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004402414394 and 2004402414403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004402414401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060685 + ... + 2265801.

It is an arithmetic number, because the mean of its divisors is an integer number (258637604688).

Almost surely, 2^{2004402414431} is an apocalyptic number.

2004402414431 is a deficient number, since it is larger than the sum of its proper divisors (64698423073).

2004402414431 is a wasteful number, since it uses less digits than its factorization.

2004402414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258801.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2004402414431 its reverse (1344142044002), we get a palindrome (3348544458433).

The spelling of 2004402414431 in words is "two trillion, four billion, four hundred two million, four hundred fourteen thousand, four hundred thirty-one".