4264056921600 has 720 divisors, whose sum is σ = 18198200097792. Its totient is φ = 932261806080.

The previous prime is 4264056921581. The next prime is 4264056921629. The reversal of 4264056921600 is 61296504624.

4264056921600 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 0 + 569 + 21 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18432249 + ... + 18662151.

Almost surely, 2^{4264056921600} is an apocalyptic number.

4264056921600 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 4264056921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099100048896).

4264056921600 is an abundant number, since it is smaller than the sum of its proper divisors (13934143176192).

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

4264056921600 is a wasteful number, since it uses less digits than its factorization.

4264056921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229967 (or 229943 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4264056921600 in words is "four trillion, two hundred sixty-four billion, fifty-six million, nine hundred twenty-one thousand, six hundred".