1042257216 has 672 divisors, whose sum is σ = 4086270720. Its totient is φ = 227082240.

The previous prime is 1042257211. The next prime is 1042257221. The reversal of 1042257216 is 6127522401.

1042257216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042257211) and next prime (1042257221).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042257211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35939890 + ... + 35939918.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^1042257216 is an apocalyptic number.

1042257216 is a gapful number since it is divisible by the number (16) 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 1042257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043135360).

1042257216 is an abundant number, since it is smaller than the sum of its proper divisors (3044013504).

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

1042257216 is a wasteful number, since it uses less digits than its factorization.

1042257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1042257216 is about 32284.0086730257. The cubic root of 1042257216 is about 1013.8918612236.

Adding to 1042257216 its reverse (6127522401), we get a palindrome (7169779617).

The spelling of 1042257216 in words is "one billion, forty-two million, two hundred fifty-seven thousand, two hundred sixteen".