61124320400 has 240 divisors, whose sum is σ = 173120044608. Its totient is φ = 20446464000.

The previous prime is 61124320393. The next prime is 61124320409. The reversal of 61124320400 is 402342116.

It is not an unprimeable number, because it can be changed into a prime (61124320409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18130715 + ... + 18134085.

Almost surely, 2^61124320400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61124320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86560022304).

61124320400 is an abundant number, since it is smaller than the sum of its proper divisors (111995724208).

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

61124320400 is a wasteful number, since it uses less digits than its factorization.

61124320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 61124320400 its reverse (402342116), we get a palindrome (61526662516).

The spelling of 61124320400 in words is "sixty-one billion, one hundred twenty-four million, three hundred twenty thousand, four hundred".