490365720240 has 320 divisors, whose sum is σ = 1735952891904. Its totient is φ = 113420160000.

The previous prime is 490365720203. The next prime is 490365720269. The reversal of 490365720240 is 42027563094.

It is a super-3 number, since 3×490365720240³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 490365720192 and 490365720201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5768445 + ... + 5852835.

Almost surely, 2^490365720240 is an apocalyptic number.

490365720240 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 490365720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867976445952).

490365720240 is an abundant number, since it is smaller than the sum of its proper divisors (1245587171664).

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

490365720240 is a wasteful number, since it uses less digits than its factorization.

490365720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84520 (or 84514 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 490365720240 in words is "four hundred ninety billion, three hundred sixty-five million, seven hundred twenty thousand, two hundred forty".