1007044038 has 144 divisors (see below), whose sum is σ = 2952357408. Its totient is φ = 241401600.

The previous prime is 1007044013. The next prime is 1007044039. The reversal of 1007044038 is 8304407001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007044039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195658 + ... + 200738.

It is an arithmetic number, because the mean of its divisors is an integer number (20502482).

Almost surely, 2^1007044038 is an apocalyptic number.

1007044038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007044038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476178704).

1007044038 is an abundant number, since it is smaller than the sum of its proper divisors (1945313370).

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

1007044038 is a wasteful number, since it uses less digits than its factorization.

1007044038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1007044038 is about 31733.9571752405. The cubic root of 1007044038 is about 1002.3425209774.

The spelling of 1007044038 in words is "one billion, seven million, forty-four thousand, thirty-eight".