498168887040 has 432 divisors, whose sum is σ = 1943143725600. Its totient is φ = 120767201280.

The previous prime is 498168887011. The next prime is 498168887089. The reversal of 498168887040 is 40788861894.

498168887040 is a `hidden beast` number, since 498 + 1 + 68 + 8 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4122196 + ... + 4241324.

Almost surely, 2^498168887040 is an apocalyptic number.

498168887040 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 498168887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971571862800).

498168887040 is an abundant number, since it is smaller than the sum of its proper divisors (1444974838560).

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

498168887040 is a wasteful number, since it uses less digits than its factorization.

498168887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119181 (or 119150 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 498168887040 in words is "four hundred ninety-eight billion, one hundred sixty-eight million, eight hundred eighty-seven thousand, forty".