4097217600 has 672 divisors, whose sum is σ = 18096341760. Its totient is φ = 880312320.

The previous prime is 4097217587. The next prime is 4097217671. The reversal of 4097217600 is 67127904.

It is a happy number.

4097217600 is a `hidden beast` number, since 40 + 9 + 7 + 2 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140402 + ... + 5141198.

It is an arithmetic number, because the mean of its divisors is an integer number (26929080).

Almost surely, 2^4097217600 is an apocalyptic number.

4097217600 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 4097217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048170880).

4097217600 is an abundant number, since it is smaller than the sum of its proper divisors (13999124160).

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

4097217600 is a wasteful number, since it uses less digits than its factorization.

4097217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 4097217600 is about 64009.5117931702. The cubic root of 4097217600 is about 1600.1585259596.

The spelling of 4097217600 in words is "four billion, ninety-seven million, two hundred seventeen thousand, six hundred".