4513375641600 has 2688 divisors, whose sum is σ = 21179522995200. Its totient is φ = 919842324480.

The previous prime is 4513375641563. The next prime is 4513375641601. The reversal of 4513375641600 is 61465733154.

4513375641600 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 37 + 5 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4513375641601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237546086391 + ... + 237546086409.

Almost surely, 2^{4513375641600} is an apocalyptic number.

4513375641600 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 4513375641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589761497600).

4513375641600 is an abundant number, since it is smaller than the sum of its proper divisors (16666147353600).

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

4513375641600 is an equidigital number, since it uses as much as digits as its factorization.

4513375641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4513375641600 in words is "four trillion, five hundred thirteen billion, three hundred seventy-five million, six hundred forty-one thousand, six hundred".