61126410240 has 1020 divisors, whose sum is σ = 260351045856. Its totient is φ = 13674479616.

The previous prime is 61126410181. The next prime is 61126410251. The reversal of 61126410240 is 4201462116.

61126410240 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 6 + 410 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1300561897 + ... + 1300561943.

Almost surely, 2^61126410240 is an apocalyptic number.

61126410240 is a gapful number since it is divisible by the number (60) 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 61126410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130175522928).

61126410240 is an abundant number, since it is smaller than the sum of its proper divisors (199224635616).

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

61126410240 is an frugal number, since it uses more digits than its factorization.

61126410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61126410240 its reverse (4201462116), we get a palindrome (65327872356).

The spelling of 61126410240 in words is "sixty-one billion, one hundred twenty-six million, four hundred ten thousand, two hundred forty".