4505796771840 has 2880 divisors, whose sum is σ = 20844196577820. Its totient is φ = 927486443520.

The previous prime is 4505796771809. The next prime is 4505796771841. The reversal of 4505796771840 is 481776975054.

4505796771840 is a `hidden beast` number, since 4 + 5 + 0 + 579 + 6 + 7 + 7 + 18 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7868399616 + 4497928372224 = 88704^2 + 2120832^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505796771841) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 109897482220 + ... + 109897482260.

Almost surely, 2^{4505796771840} is an apocalyptic number.

4505796771840 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 4505796771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422098288910).

4505796771840 is an abundant number, since it is smaller than the sum of its proper divisors (16338399805980).

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

4505796771840 is an equidigital number, since it uses as much as digits as its factorization.

4505796771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 4505796771840 in words is "four trillion, five hundred five billion, seven hundred ninety-six million, seven hundred seventy-one thousand, eight hundred forty".