4172170464 has 864 divisors, whose sum is σ = 16933432320. Its totient is φ = 987033600.

The previous prime is 4172170439. The next prime is 4172170487. The reversal of 4172170464 is 4640712714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134586129 + ... + 134586159.

It is an arithmetic number, because the mean of its divisors is an integer number (19598880).

Almost surely, 2^4172170464 is an apocalyptic number.

4172170464 is a gapful number since it is divisible by the number (44) 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 4172170464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466716160).

4172170464 is an abundant number, since it is smaller than the sum of its proper divisors (12761261856).

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

4172170464 is a wasteful number, since it uses less digits than its factorization.

4172170464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4172170464 is about 64592.3405985570. The cubic root of 4172170464 is about 1609.8571769966.

The spelling of 4172170464 in words is "four billion, one hundred seventy-two million, one hundred seventy thousand, four hundred sixty-four".