4414457456640 has 1536 divisors, whose sum is σ = 20198191104000. Its totient is φ = 887567155200.

The previous prime is 4414457456597. The next prime is 4414457456693. The reversal of 4414457456640 is 466547544144.

4414457456640 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 4 + 5 + 74 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659954416 + ... + 659961104.

It is an arithmetic number, because the mean of its divisors is an integer number (13149864000).

Almost surely, 2^{4414457456640} is an apocalyptic number.

4414457456640 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 4414457456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099095552000).

4414457456640 is an abundant number, since it is smaller than the sum of its proper divisors (15783733647360).

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

4414457456640 is a wasteful number, since it uses less digits than its factorization.

4414457456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 4414457456640 in words is "four trillion, four hundred fourteen billion, four hundred fifty-seven million, four hundred fifty-six thousand, six hundred forty".