462010533342432 has 192 divisors, whose sum is σ = 1282651820835840. Its totient is φ = 145207898726400.

The previous prime is 462010533342431. The next prime is 462010533342443. The reversal of 462010533342432 is 234243335010264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462010533342431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 969168457 + ... + 969645047.

It is an arithmetic number, because the mean of its divisors is an integer number (6680478233520).

Almost surely, 2^{462010533342432} 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 462010533342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641325910417920).

462010533342432 is an abundant number, since it is smaller than the sum of its proper divisors (820641287493408).

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

462010533342432 is a wasteful number, since it uses less digits than its factorization.

462010533342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479137 (or 479129 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 462010533342432 its reverse (234243335010264), we get a palindrome (696253868352696).

The spelling of 462010533342432 in words is "four hundred sixty-two trillion, ten billion, five hundred thirty-three million, three hundred forty-two thousand, four hundred thirty-two".