61420422402416 has 160 divisors (see below), whose sum is σ = 148602749672448. Its totient is φ = 23891914782720.

The previous prime is 61420422402403. The next prime is 61420422402433.

61420422402416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61420422402416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2085355946 + ... + 2085385398.

Almost surely, 2^{61420422402416} 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 61420422402416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74301374836224).

61420422402416 is an abundant number, since it is smaller than the sum of its proper divisors (87182327270032).

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

61420422402416 is a wasteful number, since it uses less digits than its factorization.

61420422402416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32119 (or 32113 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 6142042 and 2402416, that added together give a palindrome (8544458).

The spelling of 61420422402416 in words is "sixty-one trillion, four hundred twenty billion, four hundred twenty-two million, four hundred two thousand, four hundred sixteen".