4652138400 has 864 divisors, whose sum is σ = 20198082240. Its totient is φ = 918650880.

The previous prime is 4652138371. The next prime is 4652138423. The reversal of 4652138400 is 48312564.

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 143 ways as a sum of consecutive naturals, for example, 25989511 + ... + 25989689.

It is an arithmetic number, because the mean of its divisors is an integer number (23377410).

Almost surely, 2^4652138400 is an apocalyptic number.

4652138400 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 4652138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099041120).

4652138400 is an abundant number, since it is smaller than the sum of its proper divisors (15545943840).

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

4652138400 is a wasteful number, since it uses less digits than its factorization.

4652138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4652138400 is about 68206.5861922439. The cubic root of 4652138400 is about 1669.3633534860.

The spelling of 4652138400 in words is "four billion, six hundred fifty-two million, one hundred thirty-eight thousand, four hundred".