1561413362704 has 80 divisors (see below), whose sum is σ = 3278216430720. Its totient is φ = 716182871040.

The previous prime is 1561413362693. The next prime is 1561413362759. The reversal of 1561413362704 is 4072633141651.

It is a happy number.

It is a super-2 number, since 2×1561413362704² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 22116549 + ... + 22187035.

It is an arithmetic number, because the mean of its divisors is an integer number (40977705384).

Almost surely, 2^{1561413362704} 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 1561413362704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639108215360).

1561413362704 is an abundant number, since it is smaller than the sum of its proper divisors (1716803068016).

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

1561413362704 is a wasteful number, since it uses less digits than its factorization.

1561413362704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71168 (or 71162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 1561413362704 in words is "one trillion, five hundred sixty-one billion, four hundred thirteen million, three hundred sixty-two thousand, seven hundred four".