4611272400 has 270 divisors, whose sum is σ = 18615744342. Its totient is φ = 1053964800.

The previous prime is 4611272333. The next prime is 4611272401. The reversal of 4611272400 is 42721164.

4611272400 is a `hidden beast` number, since 4 + 611 + 2 + 7 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 557148816 + 4054123584 = 23604^2 + 63672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611272401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 163330 + ... + 189470.

Almost surely, 2^4611272400 is an apocalyptic number.

4611272400 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 4611272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872171).

4611272400 is an abundant number, since it is smaller than the sum of its proper divisors (14004471942).

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

4611272400 is a wasteful number, since it uses less digits than its factorization.

4611272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26179 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4611272400 is about 67906.3502185179. The cubic root of 4611272400 is about 1664.4608811050.

Adding to 4611272400 its reverse (42721164), we get a palindrome (4653993564).

The spelling of 4611272400 in words is "four billion, six hundred eleven million, two hundred seventy-two thousand, four hundred".