10004441131140 has 96 divisors (see below), whose sum is σ = 28979787312000. Its totient is φ = 2575731121152.

The previous prime is 10004441131129. The next prime is 10004441131151. The reversal of 10004441131140 is 4113114440001.

It is an interprime number because it is at equal distance from previous prime (10004441131129) and next prime (10004441131151).

It is a self number, because there is not a number n which added to its sum of digits gives 10004441131140.

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, 38863371 + ... + 39119949.

It is an arithmetic number, because the mean of its divisors is an integer number (301872784500).

Almost surely, 2^{10004441131140} is an apocalyptic number.

10004441131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004441131140 is an abundant number, since it is smaller than the sum of its proper divisors (18975346180860).

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

10004441131140 is a wasteful number, since it uses less digits than its factorization.

10004441131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279029 (or 279027 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10004441131140 its reverse (4113114440001), we get a palindrome (14117555571141).

It can be divided in two parts, 10004 and 441131140, that added together give a palindrome (441141144).

The spelling of 10004441131140 in words is "ten trillion, four billion, four hundred forty-one million, one hundred thirty-one thousand, one hundred forty".