4419457440 has 192 divisors, whose sum is σ = 14314962816. Its totient is φ = 1145475072.

The previous prime is 4419457403. The next prime is 4419457447. The reversal of 4419457440 is 447549144.

It is a happy number.

It is a Cunningham number, because it is equal to 66479²-1.

It is a junction number, because it is equal to n+sod(n) for n = 4419457392 and 4419457401.

It is not an unprimeable number, because it can be changed into a prime (4419457447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5716894 + ... + 5717666.

It is an arithmetic number, because the mean of its divisors is an integer number (74557098).

Almost surely, 2^4419457440 is an apocalyptic number.

4419457440 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 4419457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157481408).

4419457440 is an abundant number, since it is smaller than the sum of its proper divisors (9895505376).

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

4419457440 is a wasteful number, since it uses less digits than its factorization.

4419457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 4419457440 is about 66478.9999924788. Note that the first 5 decimals coincide. The cubic root of 4419457440 is about 1641.0544280043.

The spelling of 4419457440 in words is "four billion, four hundred nineteen million, four hundred fifty-seven thousand, four hundred forty".