4145541120000 has 2880 divisors, whose sum is σ = 19114946290440. Its totient is φ = 891813888000.

The previous prime is 4145541119999. The next prime is 4145541120031. The reversal of 4145541120000 is 211455414.

4145541120000 is a `hidden beast` number, since 4 + 1 + 45 + 5 + 411 + 200 + 0 + 0 = 666.

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

It is a super-2 number, since 2×4145541120000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 243855359992 + ... + 243855360008.

Almost surely, 2^{4145541120000} is an apocalyptic number.

4145541120000 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 4145541120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557473145220).

4145541120000 is an abundant number, since it is smaller than the sum of its proper divisors (14969405170440).

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

4145541120000 is an frugal number, since it uses more digits than its factorization.

4145541120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 4145541120000 its reverse (211455414), we get a palindrome (4145752575414).

The spelling of 4145541120000 in words is "four trillion, one hundred forty-five billion, five hundred forty-one million, one hundred twenty thousand".