1004388140800 has 432 divisors, whose sum is σ = 2839226277888. Its totient is φ = 348206284800.

The previous prime is 1004388140779. The next prime is 1004388140837. The reversal of 1004388140800 is 80418834001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004388140800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603960769 + ... + 603962431.

Almost surely, 2^{1004388140800} is an apocalyptic number.

1004388140800 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 1004388140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419613138944).

1004388140800 is an abundant number, since it is smaller than the sum of its proper divisors (1834838137088).

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

1004388140800 is a wasteful number, since it uses less digits than its factorization.

1004388140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 1004388140800 in words is "one trillion, four billion, three hundred eighty-eight million, one hundred forty thousand, eight hundred".