4442769240 has 768 divisors, whose sum is σ = 18434304000. Its totient is φ = 849429504.

The previous prime is 4442769211. The next prime is 4442769257. The reversal of 4442769240 is 429672444.

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 = 4442769192 and 4442769201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193163869 + ... + 193163891.

It is an arithmetic number, because the mean of its divisors is an integer number (24003000).

Almost surely, 2^4442769240 is an apocalyptic number.

4442769240 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 4442769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152000).

4442769240 is an abundant number, since it is smaller than the sum of its proper divisors (13991534760).

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

4442769240 is a wasteful number, since it uses less digits than its factorization.

4442769240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 4442769240 is about 66654.1014491982. The cubic root of 4442769240 is about 1643.9347864566.

The spelling of 4442769240 in words is "four billion, four hundred forty-two million, seven hundred sixty-nine thousand, two hundred forty".