1042945416 has 128 divisors (see below), whose sum is σ = 3115008000. Its totient is φ = 322284096.

The previous prime is 1042945399. The next prime is 1042945417. The reversal of 1042945416 is 6145492401.

1042945416 is a `hidden beast` number, since 104 + 2 + 9 + 4 + 541 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1042945417) 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 31 ways as a sum of consecutive naturals, for example, 190185 + ... + 195591.

It is an arithmetic number, because the mean of its divisors is an integer number (24336000).

Almost surely, 2^1042945416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042945416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557504000).

1042945416 is an abundant number, since it is smaller than the sum of its proper divisors (2072062584).

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

1042945416 is a wasteful number, since it uses less digits than its factorization.

1042945416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1042945416 is about 32294.6654418342. The cubic root of 1042945416 is about 1014.1149689326.

The spelling of 1042945416 in words is "one billion, forty-two million, nine hundred forty-five thousand, four hundred sixteen".