4101602400 has 288 divisors, whose sum is σ = 16953914880. Its totient is φ = 937474560.

The previous prime is 4101602347. The next prime is 4101602419. The reversal of 4101602400 is 42061014.

4101602400 is a `hidden beast` number, since 410 + 16 + 0 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137637 + ... + 164763.

It is an arithmetic number, because the mean of its divisors is an integer number (58867760).

Almost surely, 2^4101602400 is an apocalyptic number.

4101602400 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 4101602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476957440).

4101602400 is an abundant number, since it is smaller than the sum of its proper divisors (12852312480).

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

4101602400 is a wasteful number, since it uses less digits than its factorization.

4101602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27163 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4101602400 is about 64043.7537937932. The cubic root of 4101602400 is about 1600.7291468318.

Adding to 4101602400 its reverse (42061014), we get a palindrome (4143663414).

The spelling of 4101602400 in words is "four billion, one hundred one million, six hundred two thousand, four hundred".