4170070080 has 896 divisors, whose sum is σ = 17775936000. Its totient is φ = 908328960.

The previous prime is 4170070013. The next prime is 4170070081. The reversal of 4170070080 is 800700714.

It is a super-2 number, since 2×4170070080² = 34778968944222412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170070081) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 46854676 + ... + 46854764.

Almost surely, 2^4170070080 is an apocalyptic number.

4170070080 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 4170070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887968000).

4170070080 is an abundant number, since it is smaller than the sum of its proper divisors (13605865920).

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

4170070080 is a wasteful number, since it uses less digits than its factorization.

4170070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 4170070080 is about 64576.0797819131. The cubic root of 4170070080 is about 1609.5869830324.

Adding to 4170070080 its reverse (800700714), we get a palindrome (4970770794).

The spelling of 4170070080 in words is "four billion, one hundred seventy million, seventy thousand, eighty".