61144345440 has 576 divisors, whose sum is σ = 222572593152. Its totient is φ = 15261696000.

The previous prime is 61144345439. The next prime is 61144345441. The reversal of 61144345440 is 4454344116.

61144345440 is a `hidden beast` number, since 61 + 14 + 43 + 4 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61144345439) and next prime (61144345441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61144345395 and 61144345404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61144345441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316809984 + ... + 316810176.

It is an arithmetic number, because the mean of its divisors is an integer number (386410752).

Almost surely, 2^61144345440 is an apocalyptic number.

61144345440 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 61144345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111286296576).

61144345440 is an abundant number, since it is smaller than the sum of its proper divisors (161428247712).

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

61144345440 is a wasteful number, since it uses less digits than its factorization.

61144345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 61144345440 its reverse (4454344116), we get a palindrome (65598689556).

The spelling of 61144345440 in words is "sixty-one billion, one hundred forty-four million, three hundred forty-five thousand, four hundred forty".