4097198700 has 756 divisors, whose sum is σ = 16439489472. Its totient is φ = 881798400.

The previous prime is 4097198671. The next prime is 4097198701. The reversal of 4097198700 is 78917904.

4097198700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (4097198701) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 110735082 + ... + 110735118.

Almost surely, 2^4097198700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097198700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219744736).

4097198700 is an abundant number, since it is smaller than the sum of its proper divisors (12342290772).

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

4097198700 is a wasteful number, since it uses less digits than its factorization.

4097198700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 4097198700 is about 64009.3641586917. The cubic root of 4097198700 is about 1600.1560655059.

The spelling of 4097198700 in words is "four billion, ninety-seven million, one hundred ninety-eight thousand, seven hundred".