264440304412400 has 120 divisors (see below), whose sum is σ = 655955192561664. Its totient is φ = 102341631225600.

The previous prime is 264440304412397. The next prime is 264440304412429. The reversal of 264440304412400 is 4214403044462.

It is a super-3 number, since 3×264440304412400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54502577 + ... + 59155823.

Almost surely, 2^{264440304412400} is an apocalyptic number.

264440304412400 is a gapful number since it is divisible by the number (20) 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 264440304412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327977596280832).

264440304412400 is an abundant number, since it is smaller than the sum of its proper divisors (391514888149264).

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

264440304412400 is a wasteful number, since it uses less digits than its factorization.

264440304412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657879 (or 4657868 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 264440304412400 its reverse (4214403044462), we get a palindrome (268654707456862).

The spelling of 264440304412400 in words is "two hundred sixty-four trillion, four hundred forty billion, three hundred four million, four hundred twelve thousand, four hundred".