4179334172160 has 640 divisors, whose sum is σ = 15863448674304. Its totient is φ = 918515220480.

The previous prime is 4179334172093. The next prime is 4179334172203. The reversal of 4179334172160 is 612714339714.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261641934 + ... + 261657906.

Almost surely, 2^{4179334172160} is an apocalyptic number.

4179334172160 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 4179334172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931724337152).

4179334172160 is an abundant number, since it is smaller than the sum of its proper divisors (11684114502144).

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

4179334172160 is a wasteful number, since it uses less digits than its factorization.

4179334172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16194 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 4179334172160 in words is "four trillion, one hundred seventy-nine billion, three hundred thirty-four million, one hundred seventy-two thousand, one hundred sixty".