1044134212500 has 288 divisors, whose sum is σ = 3417163787520. Its totient is φ = 275670000000.

The previous prime is 1044134212453. The next prime is 1044134212559. The reversal of 1044134212500 is 52124314401.

1044134212500 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 134 + 21 + 2 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34072185 + ... + 34102815.

It is an arithmetic number, because the mean of its divisors is an integer number (11865152040).

Almost surely, 2^{1044134212500} is an apocalyptic number.

1044134212500 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 1044134212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708581893760).

1044134212500 is an abundant number, since it is smaller than the sum of its proper divisors (2373029575020).

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

1044134212500 is a wasteful number, since it uses less digits than its factorization.

1044134212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30770 (or 30742 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1044134212500 its reverse (52124314401), we get a palindrome (1096258526901).

The spelling of 1044134212500 in words is "one trillion, forty-four billion, one hundred thirty-four million, two hundred twelve thousand, five hundred".