4000181760 has 400 divisors, whose sum is σ = 14544997632. Its totient is φ = 1050624000.

The previous prime is 4000181749. The next prime is 4000181761. The reversal of 4000181760 is 671810004.

It is a happy number.

It is a super-2 number, since 2×4000181760² = 32002908226073395200, 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 (4000181761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20943265 + ... + 20943455.

Almost surely, 2^4000181760 is an apocalyptic number.

4000181760 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 4000181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272498816).

4000181760 is an abundant number, since it is smaller than the sum of its proper divisors (10544815872).

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

4000181760 is a wasteful number, since it uses less digits than its factorization.

4000181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4000181760 is about 63246.9901260131. The cubic root of 4000181760 is about 1587.4250954386.

Adding to 4000181760 its reverse (671810004), we get a palindrome (4671991764).

The spelling of 4000181760 in words is "four billion, one hundred eighty-one thousand, seven hundred sixty".