490018636800 has 2772 divisors, whose sum is σ = 2361518242048. Its totient is φ = 98537472000.

The previous prime is 490018636763. The next prime is 490018636841. The reversal of 490018636800 is 8636810094.

490018636800 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 1 + 8 + 636 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2772).

It is a super-2 number, since 2×490018636800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 15807052785 + ... + 15807052815.

Almost surely, 2^490018636800 is an apocalyptic number.

490018636800 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 490018636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180759121024).

490018636800 is an abundant number, since it is smaller than the sum of its proper divisors (1871499605248).

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

490018636800 is a wasteful number, since it uses less digits than its factorization.

490018636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 490018636800 in words is "four hundred ninety billion, eighteen million, six hundred thirty-six thousand, eight hundred".