4412892960 has 360 divisors, whose sum is σ = 18119108700. Its totient is φ = 1008516096.

The previous prime is 4412892923. The next prime is 4412892961. The reversal of 4412892960 is 692982144.

It can be written as a sum of positive squares in 2 ways, for example, as 4325955984 + 86936976 = 65772^2 + 9324^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4412892961) 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 59 ways as a sum of consecutive naturals, for example, 631566 + ... + 638514.

Almost surely, 2^4412892960 is an apocalyptic number.

4412892960 is a gapful number since it is divisible by the number (40) 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 4412892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059554350).

4412892960 is an abundant number, since it is smaller than the sum of its proper divisors (13706215740).

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

4412892960 is a wasteful number, since it uses less digits than its factorization.

4412892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4412892960 is about 66429.6090610204. The cubic root of 4412892960 is about 1640.2415071663.

It can be divided in two parts, 441 and 2892960, that added together give a square (2893401 = 1701²).

The spelling of 4412892960 in words is "four billion, four hundred twelve million, eight hundred ninety-two thousand, nine hundred sixty".