4345445744640 has 2208 divisors, whose sum is σ = 21105466776576. Its totient is φ = 797253304320.

The previous prime is 4345445744579. The next prime is 4345445744693. The reversal of 4345445744640 is 464475445434.

4345445744640 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 4 + 4 + 574 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2208).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188932423669 + ... + 188932423691.

Almost surely, 2^{4345445744640} is an apocalyptic number.

4345445744640 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 4345445744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552733388288).

4345445744640 is an abundant number, since it is smaller than the sum of its proper divisors (16760021031936).

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

4345445744640 is an equidigital number, since it uses as much as digits as its factorization.

4345445744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 4345445744640 in words is "four trillion, three hundred forty-five billion, four hundred forty-five million, seven hundred forty-four thousand, six hundred forty".