4864505509440 has 448 divisors, whose sum is σ = 18504712800000. Its totient is φ = 1198952202240.

The previous prime is 4864505509361. The next prime is 4864505509441. The reversal of 4864505509440 is 449055054684.

It is a happy number.

4864505509440 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 505 + 5 + 0 + 94 + 40 = 666.

It is a super-2 number, since 2×4864505509440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4864505509441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6369186 + ... + 7091934.

It is an arithmetic number, because the mean of its divisors is an integer number (41305162500).

Almost surely, 2^{4864505509440} is an apocalyptic number.

4864505509440 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 4864505509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252356400000).

4864505509440 is an abundant number, since it is smaller than the sum of its proper divisors (13640207290560).

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

4864505509440 is a wasteful number, since it uses less digits than its factorization.

4864505509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722835 (or 722819 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 4864505509440 in words is "four trillion, eight hundred sixty-four billion, five hundred five million, five hundred nine thousand, four hundred forty".