4173465240 has 288 divisors, whose sum is σ = 15938376480. Its totient is φ = 944262144.

The previous prime is 4173465227. The next prime is 4173465259. The reversal of 4173465240 is 425643714.

4173465240 is a `hidden beast` number, since 4 + 173 + 465 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4173465195 and 4173465204.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1815772 + ... + 1818068.

It is an arithmetic number, because the mean of its divisors is an integer number (55341585).

Almost surely, 2^4173465240 is an apocalyptic number.

4173465240 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 4173465240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969188240).

4173465240 is an abundant number, since it is smaller than the sum of its proper divisors (11764911240).

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

4173465240 is a wasteful number, since it uses less digits than its factorization.

4173465240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4173465240 is about 64602.3624955001. The cubic root of 4173465240 is about 1610.0236921529.

The spelling of 4173465240 in words is "four billion, one hundred seventy-three million, four hundred sixty-five thousand, two hundred forty".