461363366400 has 480 divisors, whose sum is σ = 1645280588160. Its totient is φ = 113616814080.

The previous prime is 461363366369. The next prime is 461363366407. The reversal of 461363366400 is 4663363164.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (461363366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25603794 + ... + 25621806.

It is an arithmetic number, because the mean of its divisors is an integer number (3427667892).

Almost surely, 2^461363366400 is an apocalyptic number.

461363366400 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 461363366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822640294080).

461363366400 is an abundant number, since it is smaller than the sum of its proper divisors (1183917221760).

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

461363366400 is a wasteful number, since it uses less digits than its factorization.

461363366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18096 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 461363366400 in words is "four hundred sixty-one billion, three hundred sixty-three million, three hundred sixty-six thousand, four hundred".