4556121600 has 240 divisors, whose sum is σ = 15313573440. Its totient is φ = 1193779200.

The previous prime is 4556121569. The next prime is 4556121611. The reversal of 4556121600 is 61216554.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264595 + ... + 2266605.

It is an arithmetic number, because the mean of its divisors is an integer number (63806556).

Almost surely, 2^4556121600 is an apocalyptic number.

4556121600 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 4556121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656786720).

4556121600 is an abundant number, since it is smaller than the sum of its proper divisors (10757451840).

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

4556121600 is a wasteful number, since it uses less digits than its factorization.

4556121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 4556121600 is about 67499.0488821880. The cubic root of 4556121600 is about 1657.7986012495.

It can be divided in two parts, 45561 and 21600, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 4556121600 in words is "four billion, five hundred fifty-six million, one hundred twenty-one thousand, six hundred".