4731056128512 has 1440 divisors, whose sum is σ = 17345759175360. Its totient is φ = 1285027172352.

The previous prime is 4731056128481. The next prime is 4731056128543. The reversal of 4731056128512 is 2158216501374.

4731056128512 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 0 + 5 + 6 + 128 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (4731056128481) and next prime (4731056128543).

It is a super-2 number, since 2×4731056128512² (a number of 26 digits) contains 22 as substring.

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, 29024884143 + ... + 29024884305.

It is an arithmetic number, because the mean of its divisors is an integer number (12045666094).

Almost surely, 2^{4731056128512} is an apocalyptic number.

4731056128512 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 4731056128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672879587680).

4731056128512 is an abundant number, since it is smaller than the sum of its proper divisors (12614703046848).

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

4731056128512 is an frugal number, since it uses more digits than its factorization.

4731056128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 4731056128512 in words is "four trillion, seven hundred thirty-one billion, fifty-six million, one hundred twenty-eight thousand, five hundred twelve".