61424242416 has 180 divisors, whose sum is σ = 183238216200. Its totient is φ = 19203436800.

The previous prime is 61424242351. The next prime is 61424242421.

61424242416 is a `hidden beast` number, since 614 + 2 + 4 + 2 + 4 + 24 + 16 = 666.

61424242416 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5244535 + ... + 5256233.

It is an arithmetic number, because the mean of its divisors is an integer number (1017990090).

Almost surely, 2^61424242416 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 61424242416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91619108100).

61424242416 is an abundant number, since it is smaller than the sum of its proper divisors (121813973784).

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

61424242416 is a wasteful number, since it uses less digits than its factorization.

61424242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11824 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 61424242416 in words is "sixty-one billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred sixteen".