1001938944 has 112 divisors (see below), whose sum is σ = 2720888640. Its totient is φ = 327843840.

The previous prime is 1001938937. The next prime is 1001938957. The reversal of 1001938944 is 4498391001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1449639 + ... + 1450329.

Almost surely, 2^1001938944 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 1001938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360444320).

1001938944 is an abundant number, since it is smaller than the sum of its proper divisors (1718949696).

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

1001938944 is an frugal number, since it uses more digits than its factorization.

1001938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1001938944 is about 31653.4191518073. The cubic root of 1001938944 is about 1000.6458973934.

The spelling of 1001938944 in words is "one billion, one million, nine hundred thirty-eight thousand, nine hundred forty-four".