61406860416 has 128 divisors (see below), whose sum is σ = 178230067200. Its totient is φ = 18577843200.

The previous prime is 61406860357. The next prime is 61406860421.

61406860416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2653825 + ... + 2676863.

It is an arithmetic number, because the mean of its divisors is an integer number (1392422400).

Almost surely, 2^61406860416 is an apocalyptic number.

61406860416 is a gapful number since it is divisible by the number (66) 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 61406860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115033600).

61406860416 is an abundant number, since it is smaller than the sum of its proper divisors (116823206784).

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

61406860416 is a wasteful number, since it uses less digits than its factorization.

61406860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23698 (or 23686 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 61406860416 in words is "sixty-one billion, four hundred six million, eight hundred sixty thousand, four hundred sixteen".