4564733053440 has 320 divisors, whose sum is σ = 16681236903936. Its totient is φ = 1043138691072.

The previous prime is 4564733053411. The next prime is 4564733053457. The reversal of 4564733053440 is 443503374654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4564733053440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428085549 + ... + 428096211.

Almost surely, 2^{4564733053440} is an apocalyptic number.

4564733053440 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 4564733053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340618451968).

4564733053440 is an abundant number, since it is smaller than the sum of its proper divisors (12116503850496).

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

4564733053440 is a wasteful number, since it uses less digits than its factorization.

4564733053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659 (or 18643 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 48.

The spelling of 4564733053440 in words is "four trillion, five hundred sixty-four billion, seven hundred thirty-three million, fifty-three thousand, four hundred forty".