1004133341200 has 120 divisors (see below), whose sum is σ = 2632267104480. Its totient is φ = 365066572800.

The previous prime is 1004133341171. The next prime is 1004133341221. The reversal of 1004133341200 is 21433314001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25222911 + ... + 25262689.

It is an arithmetic number, because the mean of its divisors is an integer number (21935559204).

Almost surely, 2^{1004133341200} is an apocalyptic number.

1004133341200 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 1004133341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316133552240).

1004133341200 is an abundant number, since it is smaller than the sum of its proper divisors (1628133763280).

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

1004133341200 is a wasteful number, since it uses less digits than its factorization.

1004133341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45545 (or 45534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1004133341200 its reverse (21433314001), we get a palindrome (1025566655201).

The spelling of 1004133341200 in words is "one trillion, four billion, one hundred thirty-three million, three hundred forty-one thousand, two hundred".