61413622054400 has 3840 divisors, whose sum is σ = 224461062144000. Its totient is φ = 16387080192000.

The previous prime is 61413622054397. The next prime is 61413622054409. The reversal of 61413622054400 is 445022631416.

61413622054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61413622054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 483571827137 + ... + 483571827263.

It is an arithmetic number, because the mean of its divisors is an integer number (58453401600).

Almost surely, 2^{61413622054400} 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 61413622054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112230531072000).

61413622054400 is an abundant number, since it is smaller than the sum of its proper divisors (163047440089600).

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

61413622054400 is a wasteful number, since it uses less digits than its factorization.

61413622054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 61413622054400 its reverse (445022631416), we get a palindrome (61858644685816).

The spelling of 61413622054400 in words is "sixty-one trillion, four hundred thirteen billion, six hundred twenty-two million, fifty-four thousand, four hundred".