1004431441200 has 480 divisors, whose sum is σ = 3577985851392. Its totient is φ = 238808064000.

The previous prime is 1004431441193. The next prime is 1004431441213. The reversal of 1004431441200 is 21441344001.

It is a super-2 number, since 2×1004431441200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308389972 + ... + 308393228.

Almost surely, 2^{1004431441200} is an apocalyptic number.

1004431441200 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 1004431441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788992925696).

1004431441200 is an abundant number, since it is smaller than the sum of its proper divisors (2573554410192).

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

1004431441200 is a wasteful number, since it uses less digits than its factorization.

1004431441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1004431441200 its reverse (21441344001), we get a palindrome (1025872785201).

The spelling of 1004431441200 in words is "one trillion, four billion, four hundred thirty-one million, four hundred forty-one thousand, two hundred".