4486732400640 has 1536 divisors, whose sum is σ = 17919982080000. Its totient is φ = 955132674048.

The previous prime is 4486732400599. The next prime is 4486732400693. The reversal of 4486732400640 is 460042376844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

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 4486732400640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14614763367 + ... + 14614763673.

It is an arithmetic number, because the mean of its divisors is an integer number (11666655000).

Almost surely, 2^{4486732400640} is an apocalyptic number.

4486732400640 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 4486732400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959991040000).

4486732400640 is an abundant number, since it is smaller than the sum of its proper divisors (13433249679360).

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

4486732400640 is a wasteful number, since it uses less digits than its factorization.

4486732400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 4486732400640 in words is "four trillion, four hundred eighty-six billion, seven hundred thirty-two million, four hundred thousand, six hundred forty".