4145945160960 has 432 divisors, whose sum is σ = 15388810295040. Its totient is φ = 1067459420160.

The previous prime is 4145945160953. The next prime is 4145945160967. The reversal of 4145945160960 is 690615495414.

4145945160960 is a `hidden beast` number, since 4 + 1 + 45 + 9 + 451 + 60 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4145945160953) and next prime (4145945160967).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×4145945160960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4145945160897 and 4145945160906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145945160967) 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 47 ways as a sum of consecutive naturals, for example, 8790345 + ... + 9249975.

Almost surely, 2^{4145945160960} is an apocalyptic number.

4145945160960 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 4145945160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694405147520).

4145945160960 is an abundant number, since it is smaller than the sum of its proper divisors (11242865134080).

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

4145945160960 is an equidigital number, since it uses as much as digits as its factorization.

4145945160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459696 (or 459670 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4145945160960 in words is "four trillion, one hundred forty-five billion, nine hundred forty-five million, one hundred sixty thousand, nine hundred sixty".