4145643590400 has 1728 divisors, whose sum is σ = 17202565632000. Its totient is φ = 969847603200.

The previous prime is 4145643590393. The next prime is 4145643590401. The reversal of 4145643590400 is 40953465414.

4145643590400 is a `hidden beast` number, since 4 + 1 + 4 + 56 + 4 + 3 + 590 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (4145643590401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4108665096 + ... + 4108666104.

Almost surely, 2^{4145643590400} is an apocalyptic number.

4145643590400 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 4145643590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601282816000).

4145643590400 is an abundant number, since it is smaller than the sum of its proper divisors (13056922041600).

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

4145643590400 is a wasteful number, since it uses less digits than its factorization.

4145643590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4145643590400 in words is "four trillion, one hundred forty-five billion, six hundred forty-three million, five hundred ninety thousand, four hundred".