1004145105200 has 240 divisors, whose sum is σ = 2469094009536. Its totient is φ = 392358297600.

The previous prime is 1004145105191. The next prime is 1004145105203. The reversal of 1004145105200 is 25015414001.

It is not an unprimeable number, because it can be changed into a prime (1004145105203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061899357 + ... + 2061899843.

Almost surely, 2^{1004145105200} is an apocalyptic number.

1004145105200 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 1004145105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234547004768).

1004145105200 is an abundant number, since it is smaller than the sum of its proper divisors (1464948904336).

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

1004145105200 is a wasteful number, since it uses less digits than its factorization.

1004145105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 1004145105200 in words is "one trillion, four billion, one hundred forty-five million, one hundred five thousand, two hundred".