4140173952 has 128 divisors (see below), whose sum is σ = 12241632000. Its totient is φ = 1377533952.

The previous prime is 4140173927. The next prime is 4140173963. The reversal of 4140173952 is 2593710414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590208 + ... + 3591360.

It is an arithmetic number, because the mean of its divisors is an integer number (95637750).

Almost surely, 2^4140173952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120816000).

4140173952 is an abundant number, since it is smaller than the sum of its proper divisors (8101458048).

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

4140173952 is a wasteful number, since it uses less digits than its factorization.

4140173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4140173952 is about 64344.1835133526. The cubic root of 4140173952 is about 1605.7312625476.

The spelling of 4140173952 in words is "four billion, one hundred forty million, one hundred seventy-three thousand, nine hundred fifty-two".