4132095327360 has 4608 divisors, whose sum is σ = 21237453619200. Its totient is φ = 744943288320.

The previous prime is 4132095327343. The next prime is 4132095327419. The reversal of 4132095327360 is 637235902314.

4132095327360 is a `hidden beast` number, since 4 + 1 + 320 + 9 + 53 + 273 + 6 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 32536183617 + ... + 32536183743.

It is an arithmetic number, because the mean of its divisors is an integer number (4608822400).

Almost surely, 2^{4132095327360} is an apocalyptic number.

4132095327360 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 4132095327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618726809600).

4132095327360 is an abundant number, since it is smaller than the sum of its proper divisors (17105358291840).

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

4132095327360 is a wasteful number, since it uses less digits than its factorization.

4132095327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 4132095327360 in words is "four trillion, one hundred thirty-two billion, ninety-five million, three hundred twenty-seven thousand, three hundred sixty".