4070072160 has 864 divisors, whose sum is σ = 18069682176. Its totient is φ = 816076800.

The previous prime is 4070072159. The next prime is 4070072257. The reversal of 4070072160 is 612700704.

4070072160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 57324925 + ... + 57324995.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 2^4070072160 is an apocalyptic number.

4070072160 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 4070072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034841088).

4070072160 is an abundant number, since it is smaller than the sum of its proper divisors (13999610016).

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

4070072160 is a wasteful number, since it uses less digits than its factorization.

4070072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4070072160 is about 63797.1171762486. The cubic root of 4070072160 is about 1596.6168305616.

Adding to 4070072160 its reverse (612700704), we get a palindrome (4682772864).

The spelling of 4070072160 in words is "four billion, seventy million, seventy-two thousand, one hundred sixty".