490002186240 has 1280 divisors, whose sum is σ = 2126006784000. Its totient is φ = 104639496192.

The previous prime is 490002186239. The next prime is 490002186251. The reversal of 490002186240 is 42681200094.

490002186240 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 0 + 21 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 490002186195 and 490002186204.

It is a congruent number.

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, 11395399659 + ... + 11395399701.

It is an arithmetic number, because the mean of its divisors is an integer number (1660942800).

Almost surely, 2^490002186240 is an apocalyptic number.

490002186240 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 490002186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063003392000).

490002186240 is an abundant number, since it is smaller than the sum of its proper divisors (1636004597760).

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

490002186240 is an frugal number, since it uses more digits than its factorization.

490002186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 490002186240 in words is "four hundred ninety billion, two million, one hundred eighty-six thousand, two hundred forty".