4145811151680 has 420 divisors, whose sum is σ = 15685911373860. Its totient is φ = 1005034905600.

The previous prime is 4145811151673. The next prime is 4145811151681. The reversal of 4145811151680 is 861511185414.

4145811151680 is a `hidden beast` number, since 4 + 1 + 4 + 58 + 1 + 1 + 1 + 516 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2856532656384 + 1289278495296 = 1690128^2 + 1135464^2 .

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 (4145811151681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42116920 + ... + 42215240.

It is an arithmetic number, because the mean of its divisors is an integer number (37347408033).

Almost surely, 2^{4145811151680} is an apocalyptic number.

4145811151680 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 4145811151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842955686930).

4145811151680 is an abundant number, since it is smaller than the sum of its proper divisors (11540100222180).

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

4145811151680 is an equidigital number, since it uses as much as digits as its factorization.

4145811151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98388 (or 98342 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 4145811151680 in words is "four trillion, one hundred forty-five billion, eight hundred eleven million, one hundred fifty-one thousand, six hundred eighty".