499811316480 has 720 divisors, whose sum is σ = 2049267306240. Its totient is φ = 113943158784.

The previous prime is 499811316467. The next prime is 499811316523. The reversal of 499811316480 is 84613118994.

499811316480 is a `hidden beast` number, since 49 + 9 + 8 + 113 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×499811316480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 396990091 + ... + 396991349.

It is an arithmetic number, because the mean of its divisors is an integer number (2846204592).

Almost surely, 2^499811316480 is an apocalyptic number.

499811316480 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 499811316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024633653120).

499811316480 is an abundant number, since it is smaller than the sum of its proper divisors (1549455989760).

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

499811316480 is a wasteful number, since it uses less digits than its factorization.

499811316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 499811316480 in words is "four hundred ninety-nine billion, eight hundred eleven million, three hundred sixteen thousand, four hundred eighty".