4097433600 has 840 divisors, whose sum is σ = 17206737240. Its totient is φ = 955514880.

The previous prime is 4097433569. The next prime is 4097433607. The reversal of 4097433600 is 63347904.

4097433600 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 43 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097433607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215654391 + ... + 215654409.

It is an arithmetic number, because the mean of its divisors is an integer number (20484211).

Almost surely, 2^4097433600 is an apocalyptic number.

4097433600 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 4097433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603368620).

4097433600 is an abundant number, since it is smaller than the sum of its proper divisors (13109303640).

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

4097433600 is a wasteful number, since it uses less digits than its factorization.

4097433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4097433600 is about 64011.1990201715. The cubic root of 4097433600 is about 1600.1866448931.

The spelling of 4097433600 in words is "four billion, ninety-seven million, four hundred thirty-three thousand, six hundred".