1004201042000 has 480 divisors, whose sum is σ = 2732276551680. Its totient is φ = 356428800000.

The previous prime is 1004201041931. The next prime is 1004201042003. The reversal of 1004201042000 is 2401024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004201042003) 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 95 ways as a sum of consecutive naturals, for example, 2504241800 + ... + 2504242200.

It is an arithmetic number, because the mean of its divisors is an integer number (5692242816).

Almost surely, 2^{1004201042000} is an apocalyptic number.

1004201042000 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 1004201042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366138275840).

1004201042000 is an abundant number, since it is smaller than the sum of its proper divisors (1728075509680).

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

1004201042000 is a wasteful number, since it uses less digits than its factorization.

1004201042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1004201042000 its reverse (2401024001), we get a palindrome (1006602066001).

The spelling of 1004201042000 in words is "one trillion, four billion, two hundred one million, forty-two thousand".