490825319040 has 448 divisors, whose sum is σ = 2010600956160. Its totient is φ = 112187897856.

The previous prime is 490825319027. The next prime is 490825319053. The reversal of 490825319040 is 40913528094.

490825319040 is a `hidden beast` number, since 490 + 8 + 2 + 5 + 31 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (490825319027) and next prime (490825319053).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3190777 + ... + 3341063.

Almost surely, 2^490825319040 is an apocalyptic number.

490825319040 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 490825319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005300478080).

490825319040 is an abundant number, since it is smaller than the sum of its proper divisors (1519775637120).

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

490825319040 is an equidigital number, since it uses as much as digits as its factorization.

490825319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150331 (or 150304 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 490825319040 in words is "four hundred ninety billion, eight hundred twenty-five million, three hundred nineteen thousand, forty".