4940063664480 has 288 divisors, whose sum is σ = 19278667699200. Its totient is φ = 1128429536256.

The previous prime is 4940063664413. The next prime is 4940063664541. The reversal of 4940063664480 is 844663600494.

It is a happy number.

4940063664480 is a `hidden beast` number, since 4 + 9 + 40 + 0 + 63 + 6 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15557541 + ... + 15871899.

It is an arithmetic number, because the mean of its divisors is an integer number (66939818400).

Almost surely, 2^{4940063664480} is an apocalyptic number.

4940063664480 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 4940063664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639333849600).

4940063664480 is an abundant number, since it is smaller than the sum of its proper divisors (14338604034720).

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

4940063664480 is a wasteful number, since it uses less digits than its factorization.

4940063664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315946 (or 315935 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 4940063664480 in words is "four trillion, nine hundred forty billion, sixty-three million, six hundred sixty-four thousand, four hundred eighty".