1041834144 has 192 divisors, whose sum is σ = 3162499200. Its totient is φ = 297603072.

The previous prime is 1041834127. The next prime is 1041834169. The reversal of 1041834144 is 4414381401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256322 + ... + 1257150.

It is an arithmetic number, because the mean of its divisors is an integer number (16471350).

Almost surely, 2^1041834144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581249600).

1041834144 is an abundant number, since it is smaller than the sum of its proper divisors (2120665056).

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

1041834144 is a wasteful number, since it uses less digits than its factorization.

1041834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1041834144 is about 32277.4556618083. The cubic root of 1041834144 is about 1013.7546566694.

The spelling of 1041834144 in words is "one billion, forty-one million, eight hundred thirty-four thousand, one hundred forty-four".