490847040000 has 1000 divisors, whose sum is σ = 1896754141260. Its totient is φ = 126185472000.

The previous prime is 490847039993. The next prime is 490847040023. The reversal of 490847040000 is 40748094.

It can be written as a sum of positive squares in 10 ways, for example, as 78929531136 + 411917508864 = 280944^2 + 641808^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 751679674 + ... + 751680326.

Almost surely, 2^490847040000 is an apocalyptic number.

490847040000 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 490847040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948377070630).

490847040000 is an abundant number, since it is smaller than the sum of its proper divisors (1405907101260).

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

490847040000 is an frugal number, since it uses more digits than its factorization.

490847040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 490847040000 its reverse (40748094), we get a palindrome (490887788094).

The spelling of 490847040000 in words is "four hundred ninety billion, eight hundred forty-seven million, forty thousand".