1032441313200 has 240 divisors, whose sum is σ = 3609520797312. Its totient is φ = 250177280000.

The previous prime is 1032441313199. The next prime is 1032441313217. The reversal of 1032441313200 is 23131442301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 31808980 + ... + 31841420.

Almost surely, 2^{1032441313200} is an apocalyptic number.

1032441313200 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 1032441313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804760398656).

1032441313200 is an abundant number, since it is smaller than the sum of its proper divisors (2577079484112).

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

1032441313200 is a wasteful number, since it uses less digits than its factorization.

1032441313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34884 (or 34873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1032441313200 its reverse (23131442301), we get a palindrome (1055572755501).

The spelling of 1032441313200 in words is "one trillion, thirty-two billion, four hundred forty-one million, three hundred thirteen thousand, two hundred".