497959693539840 has 1920 divisors, whose sum is σ = 2087453937254400. Its totient is φ = 107315433308160.

The previous prime is 497959693539797. The next prime is 497959693539851. The reversal of 497959693539840 is 48935396959794.

497959693539840 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 5 + 9 + 69 + 3 + 539 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (90).

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 191 ways as a sum of consecutive naturals, for example, 33332859091 + ... + 33332874029.

It is an arithmetic number, because the mean of its divisors is an integer number (1087215592320).

Almost surely, 2^{497959693539840} is an apocalyptic number.

497959693539840 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 497959693539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043726968627200).

497959693539840 is an abundant number, since it is smaller than the sum of its proper divisors (1589494243714560).

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

497959693539840 is a wasteful number, since it uses less digits than its factorization.

497959693539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 71425670400, while the sum is 90.

The spelling of 497959693539840 in words is "four hundred ninety-seven trillion, nine hundred fifty-nine billion, six hundred ninety-three million, five hundred thirty-nine thousand, eight hundred forty".