4161354600 has 144 divisors (see below), whose sum is σ = 13969195200. Its totient is φ = 1024308480.

The previous prime is 4161354569. The next prime is 4161354601. The reversal of 4161354600 is 64531614.

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

It is not an unprimeable number, because it can be changed into a prime (4161354601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80881 + ... + 121919.

It is an arithmetic number, because the mean of its divisors is an integer number (97008300).

Almost surely, 2^4161354600 is an apocalyptic number.

4161354600 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 4161354600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984597600).

4161354600 is an abundant number, since it is smaller than the sum of its proper divisors (9807840600).

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

4161354600 is a wasteful number, since it uses less digits than its factorization.

4161354600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41084 (or 41062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4161354600 is about 64508.5622223903. The cubic root of 4161354600 is about 1608.4648510013.

The spelling of 4161354600 in words is "four billion, one hundred sixty-one million, three hundred fifty-four thousand, six hundred".