494211004560 has 640 divisors, whose sum is σ = 2109118341120. Its totient is φ = 103576320000.

The previous prime is 494211004543. The next prime is 494211004577. The reversal of 494211004560 is 65400112494.

494211004560 is a `hidden beast` number, since 4 + 94 + 2 + 1 + 1 + 0 + 0 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (494211004543) and next prime (494211004577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29672235 + ... + 29688885.

It is an arithmetic number, because the mean of its divisors is an integer number (3295497408).

Almost surely, 2^494211004560 is an apocalyptic number.

494211004560 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 494211004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054559170560).

494211004560 is an abundant number, since it is smaller than the sum of its proper divisors (1614907336560).

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

494211004560 is a wasteful number, since it uses less digits than its factorization.

494211004560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16844 (or 16832 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 494211004560 in words is "four hundred ninety-four billion, two hundred eleven million, four thousand, five hundred sixty".