4831374509280 has 480 divisors, whose sum is σ = 19103536821600. Its totient is φ = 1139585863680.

The previous prime is 4831374509267. The next prime is 4831374509293. The reversal of 4831374509280 is 829054731384.

It is a happy number.

4831374509280 is a `hidden beast` number, since 4 + 8 + 313 + 7 + 45 + 0 + 9 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (4831374509267) and next prime (4831374509293).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4831374509280² (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 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 79 ways as a sum of consecutive naturals, for example, 4816746 + ... + 5732694.

It is an arithmetic number, because the mean of its divisors is an integer number (39799035045).

Almost surely, 2^{4831374509280} is an apocalyptic number.

4831374509280 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 4831374509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9551768410800).

4831374509280 is an abundant number, since it is smaller than the sum of its proper divisors (14272162312320).

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

4831374509280 is a wasteful number, since it uses less digits than its factorization.

4831374509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916024 (or 916007 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4831374509280 in words is "four trillion, eight hundred thirty-one billion, three hundred seventy-four million, five hundred nine thousand, two hundred eighty".