4536963901440 has 1728 divisors, whose sum is σ = 17664303121920. Its totient is φ = 1075166576640.

The previous prime is 4536963901391. The next prime is 4536963901487. The reversal of 4536963901440 is 441093696354.

It is a happy number.

4536963901440 is a `hidden beast` number, since 4 + 53 + 6 + 9 + 63 + 90 + 1 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54662215639 + ... + 54662215721.

It is an arithmetic number, because the mean of its divisors is an integer number (10222397640).

Almost surely, 2^{4536963901440} is an apocalyptic number.

4536963901440 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 4536963901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832151560960).

4536963901440 is an abundant number, since it is smaller than the sum of its proper divisors (13127339220480).

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

4536963901440 is a wasteful number, since it uses less digits than its factorization.

4536963901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 4536963901440 in words is "four trillion, five hundred thirty-six billion, nine hundred sixty-three million, nine hundred one thousand, four hundred forty".