264434635450400 has 144 divisors (see below), whose sum is σ = 663241527716040. Its totient is φ = 102877358284800.

The previous prime is 264434635450333. The next prime is 264434635450543. The reversal of 264434635450400 is 4054536434462.

It can be written as a sum of positive squares in 12 ways, for example, as 68762769998224 + 195671865452176 = 8292332^2 + 13988276^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 79141610 + ... + 82415190.

Almost surely, 2^{264434635450400} is an apocalyptic number.

264434635450400 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 264434635450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331620763858020).

264434635450400 is an abundant number, since it is smaller than the sum of its proper divisors (398806892265640).

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

264434635450400 is a wasteful number, since it uses less digits than its factorization.

264434635450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276367 (or 3276354 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 50.

The spelling of 264434635450400 in words is "two hundred sixty-four trillion, four hundred thirty-four billion, six hundred thirty-five million, four hundred fifty thousand, four hundred".