497474451264000 has 5120 divisors, whose sum is σ = 2174376031027200. Its totient is φ = 98274705408000.

The previous prime is 497474451263989. The next prime is 497474451264079. The reversal of 497474451264000 is 462154474794.

It is a super-2 number, since 2×497474451264000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1620437951847 + ... + 1620437952153.

It is an arithmetic number, because the mean of its divisors is an integer number (424682818560).

Almost surely, 2^{497474451264000} is an apocalyptic number.

497474451264000 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 497474451264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087188015513600).

497474451264000 is an abundant number, since it is smaller than the sum of its proper divisors (1676901579763200).

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

497474451264000 is a wasteful number, since it uses less digits than its factorization.

497474451264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 497474451264000 in words is "four hundred ninety-seven trillion, four hundred seventy-four billion, four hundred fifty-one million, two hundred sixty-four thousand".