1004142100500 has 576 divisors, whose sum is σ = 3999483371520. Its totient is φ = 206006112000.

The previous prime is 1004142100457. The next prime is 1004142100513. The reversal of 1004142100500 is 50012414001.

1004142100500 is a `hidden beast` number, since 10 + 0 + 4 + 142 + 10 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27355159 + ... + 27391841.

It is an arithmetic number, because the mean of its divisors is an integer number (6943547520).

Almost surely, 2^{1004142100500} is an apocalyptic number.

1004142100500 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 1004142100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999741685760).

1004142100500 is an abundant number, since it is smaller than the sum of its proper divisors (2995341271020).

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

1004142100500 is a wasteful number, since it uses less digits than its factorization.

1004142100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36805 (or 36790 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1004142100500 its reverse (50012414001), we get a palindrome (1054154514501).

The spelling of 1004142100500 in words is "one trillion, four billion, one hundred forty-two million, one hundred thousand, five hundred".