1004127993600 has 864 divisors, whose sum is σ = 3525674342400. Its totient is φ = 251309260800.

The previous prime is 1004127993541. The next prime is 1004127993601. The reversal of 1004127993600 is 63997214001.

It is a super-6 number, since 6×1004127993600⁶ (a number of 73 digits) contains 666666 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004127993601) 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 95 ways as a sum of consecutive naturals, for example, 4384838286 + ... + 4384838514.

It is an arithmetic number, because the mean of its divisors is an integer number (4080641600).

Almost surely, 2^{1004127993600} is an apocalyptic number.

1004127993600 is a gapful number since it is divisible by the number (10) 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 1004127993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762837171200).

1004127993600 is an abundant number, since it is smaller than the sum of its proper divisors (2521546348800).

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

1004127993600 is a wasteful number, since it uses less digits than its factorization.

1004127993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 1004127993600 in words is "one trillion, four billion, one hundred twenty-seven million, nine hundred ninety-three thousand, six hundred".