264363433220400 has 120 divisors (see below), whose sum is σ = 846848658861264. Its totient is φ = 70496544153600.

The previous prime is 264363433220309. The next prime is 264363433220401. The reversal of 264363433220400 is 4022334363462.

264363433220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (264363433220401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286436472 + ... + 287357928.

Almost surely, 2^{264363433220400} is an apocalyptic number.

264363433220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264363433220400 is an abundant number, since it is smaller than the sum of its proper divisors (582485225640864).

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

264363433220400 is a wasteful number, since it uses less digits than its factorization.

264363433220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160559 (or 1160548 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 42.

Adding to 264363433220400 its reverse (4022334363462), we get a palindrome (268385767583862).

The spelling of 264363433220400 in words is "two hundred sixty-four trillion, three hundred sixty-three billion, four hundred thirty-three million, two hundred twenty thousand, four hundred".