4194105600 has 216 divisors, whose sum is σ = 14571185440. Its totient is φ = 1059471360.

The previous prime is 4194105481. The next prime is 4194105611. The reversal of 4194105600 is 65014914.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 359052 + ... + 370548.

Almost surely, 2^4194105600 is an apocalyptic number.

4194105600 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 4194105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285592720).

4194105600 is an abundant number, since it is smaller than the sum of its proper divisors (10377079840).

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

4194105600 is a wasteful number, since it uses less digits than its factorization.

4194105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11545 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 4194105600 is about 64761.9147338928. The cubic root of 4194105600 is about 1612.6735153704.

The spelling of 4194105600 in words is "four billion, one hundred ninety-four million, one hundred five thousand, six hundred".