490999320240 has 320 divisors, whose sum is σ = 1794062172672. Its totient is φ = 109513728000.

The previous prime is 490999320233. The next prime is 490999320283. The reversal of 490999320240 is 42023999094.

It is a super-2 number, since 2×490999320240² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10512940 + ... + 10559540.

Almost surely, 2^490999320240 is an apocalyptic number.

490999320240 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 490999320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897031086336).

490999320240 is an abundant number, since it is smaller than the sum of its proper divisors (1303062852432).

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

490999320240 is a wasteful number, since it uses less digits than its factorization.

490999320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46948 (or 46942 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 490999320240 in words is "four hundred ninety billion, nine hundred ninety-nine million, three hundred twenty thousand, two hundred forty".