498015311040 has 1344 divisors, whose sum is σ = 2074956480000. Its totient is φ = 111950512128.

The previous prime is 498015311039. The next prime is 498015311051. The reversal of 498015311040 is 40113510894.

498015311040 is a `hidden beast` number, since 4 + 9 + 80 + 1 + 531 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 498015310986 and 498015311004.

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 191 ways as a sum of consecutive naturals, for example, 804547851 + ... + 804548469.

Almost surely, 2^498015311040 is an apocalyptic number.

498015311040 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 498015311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037478240000).

498015311040 is an abundant number, since it is smaller than the sum of its proper divisors (1576941168960).

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

498015311040 is a wasteful number, since it uses less digits than its factorization.

498015311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 498015311040 in words is "four hundred ninety-eight billion, fifteen million, three hundred eleven thousand, forty".