1042569216 has 288 divisors, whose sum is σ = 3428334000. Its totient is φ = 302579712.

The previous prime is 1042569191. The next prime is 1042569259. The reversal of 1042569216 is 6129652401.

1042569216 is a `hidden beast` number, since 10 + 425 + 6 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552590 + ... + 4552818.

Almost surely, 2^1042569216 is an apocalyptic number.

1042569216 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 1042569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714167000).

1042569216 is an abundant number, since it is smaller than the sum of its proper divisors (2385764784).

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

1042569216 is a wasteful number, since it uses less digits than its factorization.

1042569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1042569216 is about 32288.8404251376. The cubic root of 1042569216 is about 1013.9930207379.

The spelling of 1042569216 in words is "one billion, forty-two million, five hundred sixty-nine thousand, two hundred sixteen".