491753370240 has 576 divisors, whose sum is σ = 1912126343400. Its totient is φ = 116298547200.

The previous prime is 491753370239. The next prime is 491753370253. The reversal of 491753370240 is 42073357194.

491753370240 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 533 + 70 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253991808576 + 237761561664 = 503976^2 + 487608^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28566756 + ... + 28583964.

Almost surely, 2^491753370240 is an apocalyptic number.

491753370240 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 491753370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956063171700).

491753370240 is an abundant number, since it is smaller than the sum of its proper divisors (1420372973160).

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

491753370240 is a wasteful number, since it uses less digits than its factorization.

491753370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17271 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 491753370240 in words is "four hundred ninety-one billion, seven hundred fifty-three million, three hundred seventy thousand, two hundred forty".