4097779200 has 480 divisors, whose sum is σ = 15344017920. Its totient is φ = 1070899200.

The previous prime is 4097779187. The next prime is 4097779219. The reversal of 4097779200 is 29777904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24537517 + ... + 24537683.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^4097779200 is an apocalyptic number.

4097779200 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 4097779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672008960).

4097779200 is an abundant number, since it is smaller than the sum of its proper divisors (11246238720).

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

4097779200 is a wasteful number, since it uses less digits than its factorization.

4097779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 4097779200 is about 64013.8984908746. The cubic root of 4097779200 is about 1600.2316331314.

The spelling of 4097779200 in words is "four billion, ninety-seven million, seven hundred seventy-nine thousand, two hundred".