1042345320 has 256 divisors, whose sum is σ = 3433881600. Its totient is φ = 252241920.

The previous prime is 1042345313. The next prime is 1042345379. The reversal of 1042345320 is 235432401.

1042345320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1042345320² = 2172967532251804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7608292 + ... + 7608428.

It is an arithmetic number, because the mean of its divisors is an integer number (13413600).

Almost surely, 2^1042345320 is an apocalyptic number.

1042345320 is a gapful number since it is divisible by the number (10) 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 1042345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716940800).

1042345320 is an abundant number, since it is smaller than the sum of its proper divisors (2391536280).

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

1042345320 is a wasteful number, since it uses less digits than its factorization.

1042345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1042345320 is about 32285.3731587541. The cubic root of 1042345320 is about 1013.9204291594.

Adding to 1042345320 its reverse (235432401), we get a palindrome (1277777721).

The spelling of 1042345320 in words is "one billion, forty-two million, three hundred forty-five thousand, three hundred twenty".