490953331440 has 1440 divisors, whose sum is σ = 2086158477312. Its totient is φ = 105815808000.

The previous prime is 490953331439. The next prime is 490953331441. The reversal of 490953331440 is 44133359094.

It is a happy number.

490953331440 is a `hidden beast` number, since 4 + 90 + 95 + 3 + 3 + 31 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (490953331439) and next prime (490953331441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490953331441) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2326792935 + ... + 2326793145.

Almost surely, 2^490953331440 is an apocalyptic number.

490953331440 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 490953331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043079238656).

490953331440 is an abundant number, since it is smaller than the sum of its proper divisors (1595205145872).

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

490953331440 is a wasteful number, since it uses less digits than its factorization.

490953331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 490953331440 in words is "four hundred ninety billion, nine hundred fifty-three million, three hundred thirty-one thousand, four hundred forty".