4180205940 has 96 divisors (see below), whose sum is σ = 11931494400. Its totient is φ = 1093276800.

The previous prime is 4180205929. The next prime is 4180205971. The reversal of 4180205940 is 495020814.

4180205940 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 super-2 number, since 2×4180205940² = 34948243401622567200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845275 + ... + 850205.

It is an arithmetic number, because the mean of its divisors is an integer number (124286400).

Almost surely, 2^4180205940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4180205940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965747200).

4180205940 is an abundant number, since it is smaller than the sum of its proper divisors (7751288460).

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

4180205940 is a wasteful number, since it uses less digits than its factorization.

4180205940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 4180205940 is about 64654.5121395251. The cubic root of 4180205940 is about 1610.8900265195.

The spelling of 4180205940 in words is "four billion, one hundred eighty million, two hundred five thousand, nine hundred forty".