1004234011120 has 80 divisors (see below), whose sum is σ = 2475301356288. Its totient is φ = 378229340160.

The previous prime is 1004234011073. The next prime is 1004234011127. The reversal of 1004234011120 is 211104324001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1004234011120⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004234011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5380309 + ... + 5563828.

Almost surely, 2^{1004234011120} is an apocalyptic number.

1004234011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004234011120 is an abundant number, since it is smaller than the sum of its proper divisors (1471067345168).

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

1004234011120 is a wasteful number, since it uses less digits than its factorization.

1004234011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944218 (or 10944212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1004234011120 its reverse (211104324001), we get a palindrome (1215338335121).

The spelling of 1004234011120 in words is "one trillion, four billion, two hundred thirty-four million, eleven thousand, one hundred twenty".