4361610240 has 440 divisors, whose sum is σ = 16852623480. Its totient is φ = 1072300032.

The previous prime is 4361610233. The next prime is 4361610251. The reversal of 4361610240 is 420161634.

4361610240 is a `hidden beast` number, since 4 + 3 + 6 + 1 + 610 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 3869835264 = 22176^2 + 62208^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5390956 + ... + 5391764.

It is an arithmetic number, because the mean of its divisors is an integer number (38301417).

Almost surely, 2^4361610240 is an apocalyptic number.

4361610240 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 4361610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426311740).

4361610240 is an abundant number, since it is smaller than the sum of its proper divisors (12491013240).

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

4361610240 is a wasteful number, since it uses less digits than its factorization.

4361610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4361610240 is about 66042.4881421044. The cubic root of 4361610240 is about 1633.8629245695.

Adding to 4361610240 its reverse (420161634), we get a palindrome (4781771874).

The spelling of 4361610240 in words is "four billion, three hundred sixty-one million, six hundred ten thousand, two hundred forty".