495965970432 has 896 divisors, whose sum is σ = 1650777292800. Its totient is φ = 148343685120.

The previous prime is 495965970427. The next prime is 495965970439. The reversal of 495965970432 is 234079569594.

495965970432 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 6 + 597 + 0 + 4 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 495965970432.

It is not an unprimeable number, because it can be changed into a prime (495965970439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10552467433 + ... + 10552467479.

Almost surely, 2^495965970432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495965970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825388646400).

495965970432 is an abundant number, since it is smaller than the sum of its proper divisors (1154811322368).

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

495965970432 is an frugal number, since it uses more digits than its factorization.

495965970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 495965970432 in words is "four hundred ninety-five billion, nine hundred sixty-five million, nine hundred seventy thousand, four hundred thirty-two".