490580069616000 has 4096 divisors, whose sum is σ = 2416644292608000. Its totient is φ = 94891585536000.

The previous prime is 490580069615921. The next prime is 490580069616037. The reversal of 490580069616000 is 616960085094.

It is a happy number.

490580069616000 is a `hidden beast` number, since 49 + 0 + 580 + 0 + 6 + 9 + 6 + 16 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23154757407 + ... + 23154778593.

It is an arithmetic number, because the mean of its divisors is an integer number (590001048000).

Almost surely, 2^{490580069616000} is an apocalyptic number.

490580069616000 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 490580069616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208322146304000).

490580069616000 is an abundant number, since it is smaller than the sum of its proper divisors (1926064222992000).

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

490580069616000 is a wasteful number, since it uses less digits than its factorization.

490580069616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21295 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 490580069616000 in words is "four hundred ninety trillion, five hundred eighty billion, sixty-nine million, six hundred sixteen thousand".