4134445176160 has 288 divisors, whose sum is σ = 11417262776640. Its totient is φ = 1409834409984.

The previous prime is 4134445176143. The next prime is 4134445176163. The reversal of 4134445176160 is 616715444314.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 4134445176160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134445176163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17921062 + ... + 18150298.

It is an arithmetic number, because the mean of its divisors is an integer number (39643273530).

Almost surely, 2^{4134445176160} is an apocalyptic number.

4134445176160 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 4134445176160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708631388320).

4134445176160 is an abundant number, since it is smaller than the sum of its proper divisors (7282817600480).

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

4134445176160 is a wasteful number, since it uses less digits than its factorization.

4134445176160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229330 (or 229309 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 4134445176160 in words is "four trillion, one hundred thirty-four billion, four hundred forty-five million, one hundred seventy-six thousand, one hundred sixty".