4412842560 has 672 divisors, whose sum is σ = 18745638912. Its totient is φ = 930631680.

The previous prime is 4412842559. The next prime is 4412842561. The reversal of 4412842560 is 652482144.

4412842560 is a `hidden beast` number, since 4 + 4 + 12 + 84 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4412842559) and next prime (4412842561).

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4412842561) 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, 14373927 + ... + 14374233.

It is an arithmetic number, because the mean of its divisors is an integer number (27895296).

Almost surely, 2^4412842560 is an apocalyptic number.

4412842560 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 4412842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372819456).

4412842560 is an abundant number, since it is smaller than the sum of its proper divisors (14332796352).

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

4412842560 is a wasteful number, since it uses less digits than its factorization.

4412842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4412842560 is about 66429.2297110240. The cubic root of 4412842560 is about 1640.2352626998.

The spelling of 4412842560 in words is "four billion, four hundred twelve million, eight hundred forty-two thousand, five hundred sixty".