490798211904000 has 10240 divisors, whose sum is σ = 2566422618439680. Its totient is φ = 90296156160000.

The previous prime is 490798211903999. The next prime is 490798211904041. The reversal of 490798211904000 is 409112897094.

490798211904000 is a `hidden beast` number, since 4 + 9 + 0 + 79 + 82 + 1 + 1 + 90 + 400 + 0 = 666.

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 1023 ways as a sum of consecutive naturals, for example, 4343347007944 + ... + 4343347008056.

It is an arithmetic number, because the mean of its divisors is an integer number (250627208832).

Almost surely, 2^{490798211904000} is an apocalyptic number.

490798211904000 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 490798211904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283211309219840).

490798211904000 is an abundant number, since it is smaller than the sum of its proper divisors (2075624406535680).

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

490798211904000 is a wasteful number, since it uses less digits than its factorization.

490798211904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 490798211904000 in words is "four hundred ninety trillion, seven hundred ninety-eight billion, two hundred eleven million, nine hundred four thousand".