4001745168 has 80 divisors (see below), whose sum is σ = 11648361600. Its totient is φ = 1315117440.

The previous prime is 4001745161. The next prime is 4001745179. The reversal of 4001745168 is 8615471004.

It is a happy number.

It is a super-2 number, since 2×4001745168² = 32027928779222696448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4001745161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34563 + ... + 95906.

It is an arithmetic number, because the mean of its divisors is an integer number (145604520).

Almost surely, 2^4001745168 is an apocalyptic number.

4001745168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4001745168 is an abundant number, since it is smaller than the sum of its proper divisors (7646616432).

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

4001745168 is a wasteful number, since it uses less digits than its factorization.

4001745168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130557 (or 130545 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4001745168 is about 63259.3484632904. The cubic root of 4001745168 is about 1587.6318751959.

The spelling of 4001745168 in words is "four billion, one million, seven hundred forty-five thousand, one hundred sixty-eight".