4145660719200 has 4320 divisors, whose sum is σ = 21142695530880. Its totient is φ = 776679321600.

The previous prime is 4145660719181. The next prime is 4145660719217. The reversal of 4145660719200 is 29170665414.

4145660719200 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 6 + 607 + 19 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×4145660719200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 96410714379 + ... + 96410714421.

It is an arithmetic number, because the mean of its divisors is an integer number (4894142484).

Almost surely, 2^{4145660719200} is an apocalyptic number.

4145660719200 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 4145660719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571347765440).

4145660719200 is an abundant number, since it is smaller than the sum of its proper divisors (16997034811680).

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

4145660719200 is a wasteful number, since it uses less digits than its factorization.

4145660719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4145660719200 in words is "four trillion, one hundred forty-five billion, six hundred sixty million, seven hundred nineteen thousand, two hundred".