1004121234424 has 128 divisors (see below), whose sum is σ = 2356987507200. Its totient is φ = 389603427840.

The previous prime is 1004121234409. The next prime is 1004121234443. The reversal of 1004121234424 is 4244321214001.

It is a super-2 number, since 2×1004121234424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1004121234392 and 1004121234401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283728447 + ... + 283731985.

It is an arithmetic number, because the mean of its divisors is an integer number (18413964900).

Almost surely, 2^{1004121234424} is an apocalyptic number.

1004121234424 is a gapful number since it is divisible by the number (14) 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 1004121234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178493753600).

1004121234424 is an abundant number, since it is smaller than the sum of its proper divisors (1352866272776).

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

1004121234424 is a wasteful number, since it uses less digits than its factorization.

1004121234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1004121234424 its reverse (4244321214001), we get a palindrome (5248442448425).

The spelling of 1004121234424 in words is "one trillion, four billion, one hundred twenty-one million, two hundred thirty-four thousand, four hundred twenty-four".