4015472160 has 384 divisors, whose sum is σ = 15715123200. Its totient is φ = 841052160.

The previous prime is 4015472159. The next prime is 4015472183. The reversal of 4015472160 is 612745104.

It is a super-2 number, since 2×4015472160² = 32248033335470131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978026 + ... + 1980054.

It is an arithmetic number, because the mean of its divisors is an integer number (40924800).

Almost surely, 2^4015472160 is an apocalyptic number.

4015472160 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 4015472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857561600).

4015472160 is an abundant number, since it is smaller than the sum of its proper divisors (11699651040).

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

4015472160 is a wasteful number, since it uses less digits than its factorization.

4015472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4015472160 is about 63367.7533134953. The cubic root of 4015472160 is about 1589.4451289604.

The spelling of 4015472160 in words is "four billion, fifteen million, four hundred seventy-two thousand, one hundred sixty".