1042114304 has 144 divisors (see below), whose sum is σ = 2684344320. Its totient is φ = 391802880.

The previous prime is 1042114303. The next prime is 1042114309. The reversal of 1042114304 is 4034112401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042114303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570737 + ... + 572559.

It is an arithmetic number, because the mean of its divisors is an integer number (18641280).

Almost surely, 2^1042114304 is an apocalyptic number.

1042114304 is a gapful number since it is divisible by the number (14) 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 1042114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342172160).

1042114304 is an abundant number, since it is smaller than the sum of its proper divisors (1642230016).

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

1042114304 is a wasteful number, since it uses less digits than its factorization.

1042114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1042114304 is about 32281.7952412811. The cubic root of 1042114304 is about 1013.8455182370.

Adding to 1042114304 its reverse (4034112401), we get a palindrome (5076226705).

The spelling of 1042114304 in words is "one billion, forty-two million, one hundred fourteen thousand, three hundred four".