1004425335200 has 144 divisors (see below), whose sum is σ = 2820198495744. Its totient is φ = 342180633600.

The previous prime is 1004425335167. The next prime is 1004425335209. The reversal of 1004425335200 is 25335244001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1004425335209) 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 23 ways as a sum of consecutive naturals, for example, 307985 + ... + 1450415.

It is an arithmetic number, because the mean of its divisors is an integer number (19584711776).

Almost surely, 2^{1004425335200} is an apocalyptic number.

1004425335200 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 1004425335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410099247872).

1004425335200 is an abundant number, since it is smaller than the sum of its proper divisors (1815773160544).

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

1004425335200 is a wasteful number, since it uses less digits than its factorization.

1004425335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142615 (or 1142602 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 1004425335200 in words is "one trillion, four billion, four hundred twenty-five million, three hundred thirty-five thousand, two hundred".