4535480317440 has 160 divisors (see below), whose sum is σ = 14891239265760. Its totient is φ = 1176773197824.

The previous prime is 4535480317409. The next prime is 4535480317457. The reversal of 4535480317440 is 447130845354.

It is a tau number, because it is divible by the number of its divisors (160).

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 4535480317440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7696345 + ... + 8264664.

It is an arithmetic number, because the mean of its divisors is an integer number (93070245411).

Almost surely, 2^{4535480317440} is an apocalyptic number.

4535480317440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4535480317440 is an abundant number, since it is smaller than the sum of its proper divisors (10355758948320).

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

4535480317440 is a wasteful number, since it uses less digits than its factorization.

4535480317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961072 (or 15961056 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 4535480317440 in words is "four trillion, five hundred thirty-five billion, four hundred eighty million, three hundred seventeen thousand, four hundred forty".