4097124600 has 96 divisors (see below), whose sum is σ = 12712155120. Its totient is φ = 1091614720.

The previous prime is 4097124599. The next prime is 4097124607. The reversal of 4097124600 is 64217904.

It is a happy number.

4097124600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097124607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929602 + ... + 933998.

Almost surely, 2^4097124600 is an apocalyptic number.

4097124600 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 4097124600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356077560).

4097124600 is an abundant number, since it is smaller than the sum of its proper divisors (8615030520).

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

4097124600 is a wasteful number, since it uses less digits than its factorization.

4097124600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4097124600 is about 64008.7853345148. The cubic root of 4097124600 is about 1600.1464188922.

The spelling of 4097124600 in words is "four billion, ninety-seven million, one hundred twenty-four thousand, six hundred".