4445856240 has 320 divisors, whose sum is σ = 16391808000. Its totient is φ = 996043776.

The previous prime is 4445856209. The next prime is 4445856241. The reversal of 4445856240 is 426585444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4445856192 and 4445856201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4445856241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4362451 + ... + 4363469.

It is an arithmetic number, because the mean of its divisors is an integer number (51224400).

Almost surely, 2^4445856240 is an apocalyptic number.

4445856240 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 4445856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904000).

4445856240 is an abundant number, since it is smaller than the sum of its proper divisors (11945951760).

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

4445856240 is a wasteful number, since it uses less digits than its factorization.

4445856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The square root of 4445856240 is about 66677.2542925997. The cubic root of 4445856240 is about 1644.3154538191.

The spelling of 4445856240 in words is "four billion, four hundred forty-five million, eight hundred fifty-six thousand, two hundred forty".