4980324061440 has 2160 divisors, whose sum is σ = 22652319091248. Its totient is φ = 1035395923968.

The previous prime is 4980324061409. The next prime is 4980324061441. The reversal of 4980324061440 is 441604230894.

4980324061440 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 3 + 24 + 0 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22255865856 + 4958068195584 = 149184^2 + 2226672^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980324061441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4821223164 + ... + 4821224196.

Almost surely, 2^{4980324061440} is an apocalyptic number.

4980324061440 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 4980324061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326159545624).

4980324061440 is an abundant number, since it is smaller than the sum of its proper divisors (17671995029808).

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

4980324061440 is a wasteful number, since it uses less digits than its factorization.

4980324061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4980324061440 in words is "four trillion, nine hundred eighty billion, three hundred twenty-four million, sixty-one thousand, four hundred forty".