264400321440 has 48 divisors (see below), whose sum is σ = 832861014048. Its totient is φ = 70506752256.

The previous prime is 264400321357. The next prime is 264400321441. The reversal of 264400321440 is 44123004462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×264400321440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264400321398 and 264400321407.

It is not an unprimeable number, because it can be changed into a prime (264400321441) 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 7 ways as a sum of consecutive naturals, for example, 275416522 + ... + 275417481.

It is an arithmetic number, because the mean of its divisors is an integer number (17351271126).

Almost surely, 2^264400321440 is an apocalyptic number.

264400321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264400321440 is an abundant number, since it is smaller than the sum of its proper divisors (568460692608).

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

264400321440 is a wasteful number, since it uses less digits than its factorization.

264400321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550834021 (or 550834013 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 264400321440 in words is "two hundred sixty-four billion, four hundred million, three hundred twenty-one thousand, four hundred forty".