4195121600 has 42 divisors (see below), whose sum is σ = 10322625024. Its totient is φ = 1678048000.

The previous prime is 4195121591. The next prime is 4195121611. The reversal of 4195121600 is 61215914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1309376 + ... + 1312575.

Almost surely, 2^4195121600 is an apocalyptic number.

4195121600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4195121600 is an abundant number, since it is smaller than the sum of its proper divisors (6127503424).

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

4195121600 is a wasteful number, since it uses less digits than its factorization.

4195121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621973 (or 2621958 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 4195121600 is about 64769.7583753406. The cubic root of 4195121600 is about 1612.8037254129.

The spelling of 4195121600 in words is "four billion, one hundred ninety-five million, one hundred twenty-one thousand, six hundred".