4172656960 has 28 divisors (see below), whose sum is σ = 9936140148. Its totient is φ = 1669062656.

The previous prime is 4172656951. The next prime is 4172656963. The reversal of 4172656960 is 696562714.

4172656960 = T₅₂₇₄₁ + T₅₂₇₄₂ + T₅₂₇₄₃.

It can be written as a sum of positive squares in 2 ways, for example, as 1839380544 + 2333276416 = 42888^2 + 48304^2 .

It is a super-2 number, since 2×4172656960² = 34822132211672883200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4172656960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172656963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6519457 + ... + 6520096.

Almost surely, 2^4172656960 is an apocalyptic number.

4172656960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4172656960 is the 52743-rd centered triangular number.

It is an amenable number.

4172656960 is an abundant number, since it is smaller than the sum of its proper divisors (5763483188).

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

4172656960 is a wasteful number, since it uses less digits than its factorization.

4172656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039570 (or 13039560 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 4172656960 is about 64596.1063842086. The cubic root of 4172656960 is about 1609.9197470381.

The spelling of 4172656960 in words is "four billion, one hundred seventy-two million, six hundred fifty-six thousand, nine hundred sixty".