490639632000 has 1024 divisors, whose sum is σ = 1969320038400. Its totient is φ = 105670656000.

The previous prime is 490639631981. The next prime is 490639632103. The reversal of 490639632000 is 236936094.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418991415 + ... + 418992585.

It is an arithmetic number, because the mean of its divisors is an integer number (1923164100).

Almost surely, 2^490639632000 is an apocalyptic number.

490639632000 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 490639632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984660019200).

490639632000 is an abundant number, since it is smaller than the sum of its proper divisors (1478680406400).

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

490639632000 is a wasteful number, since it uses less digits than its factorization.

490639632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 490639632000 in words is "four hundred ninety billion, six hundred thirty-nine million, six hundred thirty-two thousand".