1234404014004 has 144 divisors (see below), whose sum is σ = 3754210969600. Its totient is φ = 334082760768.

The previous prime is 1234404014003. The next prime is 1234404014027. The reversal of 1234404014004 is 4004104044321.

It is a super-2 number, since 2×1234404014004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234404014003) 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 47 ways as a sum of consecutive naturals, for example, 74718057 + ... + 74734575.

Almost surely, 2^{1234404014004} is an apocalyptic number.

1234404014004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1234404014004 is an abundant number, since it is smaller than the sum of its proper divisors (2519806955596).

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

1234404014004 is a wasteful number, since it uses less digits than its factorization.

1234404014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32162 (or 32157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1234404014004 its reverse (4004104044321), we get a palindrome (5238508058325).

The spelling of 1234404014004 in words is "one trillion, two hundred thirty-four billion, four hundred four million, fourteen thousand, four".