1004121312444 has 18 divisors (see below), whose sum is σ = 2538195539880. Its totient is φ = 334707104136.

The previous prime is 1004121312443. The next prime is 1004121312499. The reversal of 1004121312444 is 4442131214001.

1004121312444 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 213 + 1 + 2 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1004121312444² (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 (1004121312443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13946129304 + ... + 13946129375.

Almost surely, 2^{1004121312444} is an apocalyptic number.

It is an amenable number.

1004121312444 is an abundant number, since it is smaller than the sum of its proper divisors (1534074227436).

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

1004121312444 is a wasteful number, since it uses less digits than its factorization.

1004121312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27892258689 (or 27892258684 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1004121312444 its reverse (4442131214001), we get a palindrome (5446252526445).

The spelling of 1004121312444 in words is "one trillion, four billion, one hundred twenty-one million, three hundred twelve thousand, four hundred forty-four".