498078720000 has 700 divisors, whose sum is σ = 1860948279366. Its totient is φ = 132710400000.

The previous prime is 498078719993. The next prime is 498078720017. The reversal of 498078720000 is 27870894.

It can be written as a sum of positive squares in 5 ways, for example, as 33761857536 + 464316862464 = 183744^2 + 681408^2 .

It is a super-2 number, since 2×498078720000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719400 + ... + 414720600.

Almost surely, 2^498078720000 is an apocalyptic number.

498078720000 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 498078720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930474139683).

498078720000 is an abundant number, since it is smaller than the sum of its proper divisors (1362869559366).

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

498078720000 is an frugal number, since it uses more digits than its factorization.

498078720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 498078720000 in words is "four hundred ninety-eight billion, seventy-eight million, seven hundred twenty thousand".