1044126980100 has 216 divisors, whose sum is σ = 3294869413472. Its totient is φ = 276558105600.

The previous prime is 1044126980089. The next prime is 1044126980147. The reversal of 1044126980100 is 10896214401.

1044126980100 is a `hidden beast` number, since 1 + 0 + 4 + 412 + 69 + 80 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99312444 + ... + 99322956.

Almost surely, 2^{1044126980100} is an apocalyptic number.

1044126980100 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 1044126980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647434706736).

1044126980100 is an abundant number, since it is smaller than the sum of its proper divisors (2250742433372).

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

1044126980100 is a wasteful number, since it uses less digits than its factorization.

1044126980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1044126980100 in words is "one trillion, forty-four billion, one hundred twenty-six million, nine hundred eighty thousand, one hundred".