4458366440 has 64 divisors (see below), whose sum is σ = 10961948160. Its totient is φ = 1618456320.

The previous prime is 4458366389. The next prime is 4458366491. The reversal of 4458366440 is 446638544.

It is a Cunningham number, because it is equal to 66771²-1.

It is an interprime number because it is at equal distance from previous prime (4458366389) and next prime (4458366491).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4458366391 and 4458366400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258734 + ... + 275426.

It is an arithmetic number, because the mean of its divisors is an integer number (171280440).

Almost surely, 2^4458366440 is an apocalyptic number.

4458366440 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 4458366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480974080).

4458366440 is an abundant number, since it is smaller than the sum of its proper divisors (6503581720).

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

4458366440 is a wasteful number, since it uses less digits than its factorization.

4458366440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17322 (or 17318 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The square root of 4458366440 is about 66770.9999925117. Note that the first 5 decimals coincide. The cubic root of 4458366440 is about 1645.8563231541.

The spelling of 4458366440 in words is "four billion, four hundred fifty-eight million, three hundred sixty-six thousand, four hundred forty".