4097811200 has 324 divisors, whose sum is σ = 12027120840. Its totient is φ = 1377976320.

The previous prime is 4097811199. The next prime is 4097811203. The reversal of 4097811200 is 21187904.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4097811203) 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, 22892711 + ... + 22892889.

Almost surely, 2^4097811200 is an apocalyptic number.

4097811200 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 4097811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013560420).

4097811200 is an abundant number, since it is smaller than the sum of its proper divisors (7929309640).

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

4097811200 is a wasteful number, since it uses less digits than its factorization.

4097811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 4097811200 is about 64014.1484361075. The cubic root of 4097811200 is about 1600.2357985810.

The spelling of 4097811200 in words is "four billion, ninety-seven million, eight hundred eleven thousand, two hundred".