4460940836352 has 2560 divisors, whose sum is σ = 19112376729600. Its totient is φ = 991705006080.

The previous prime is 4460940836323. The next prime is 4460940836383. The reversal of 4460940836352 is 2536380490644.

4460940836352 is a `hidden beast` number, since 4 + 460 + 9 + 40 + 83 + 63 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94913634793 + ... + 94913634839.

It is an arithmetic number, because the mean of its divisors is an integer number (7465772160).

Almost surely, 2^{4460940836352} is an apocalyptic number.

4460940836352 is a gapful number since it is divisible by the number (42) 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 4460940836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556188364800).

4460940836352 is an abundant number, since it is smaller than the sum of its proper divisors (14651435893248).

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

4460940836352 is a wasteful number, since it uses less digits than its factorization.

4460940836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 4460940836352 in words is "four trillion, four hundred sixty billion, nine hundred forty million, eight hundred thirty-six thousand, three hundred fifty-two".