1042440672 has 288 divisors, whose sum is σ = 3462020352. Its totient is φ = 268849152.

The previous prime is 1042440617. The next prime is 1042440677. The reversal of 1042440672 is 2760442401.

It is a super-3 number, since 3×1042440672³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042440677) 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 47 ways as a sum of consecutive naturals, for example, 7608988 + ... + 7609124.

It is an arithmetic number, because the mean of its divisors is an integer number (12020904).

Almost surely, 2^1042440672 is an apocalyptic number.

1042440672 is a gapful number since it is divisible by the number (12) 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 1042440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731010176).

1042440672 is an abundant number, since it is smaller than the sum of its proper divisors (2419579680).

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

1042440672 is a wasteful number, since it uses less digits than its factorization.

1042440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1042440672 is about 32286.8498308522. The cubic root of 1042440672 is about 1013.9513454630.

The spelling of 1042440672 in words is "one billion, forty-two million, four hundred forty thousand, six hundred seventy-two".