4146561741600 has 288 divisors, whose sum is σ = 15177421707840. Its totient is φ = 1092427038720.

The previous prime is 4146561741577. The next prime is 4146561741617. The reversal of 4146561741600 is 61471656414.

4146561741600 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 561 + 74 + 16 + 0 + 0 = 666.

4146561741600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636352 + ... + 2949248.

It is an arithmetic number, because the mean of its divisors is an integer number (52699380930).

Almost surely, 2^{4146561741600} is an apocalyptic number.

4146561741600 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 4146561741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588710853920).

4146561741600 is an abundant number, since it is smaller than the sum of its proper divisors (11030859966240).

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

4146561741600 is a wasteful number, since it uses less digits than its factorization.

4146561741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313009 (or 2312990 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4146561741600 in words is "four trillion, one hundred forty-six billion, five hundred sixty-one million, seven hundred forty-one thousand, six hundred".