1561160432140 has 96 divisors (see below), whose sum is σ = 3424813056000. Its totient is φ = 597109743360.

The previous prime is 1561160432131. The next prime is 1561160432173. The reversal of 1561160432140 is 412340611651.

It is a junction number, because it is equal to n+sod(n) for n = 1561160432096 and 1561160432105.

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, 17379061 + ... + 17468659.

It is an arithmetic number, because the mean of its divisors is an integer number (35675136000).

Almost surely, 2^{1561160432140} is an apocalyptic number.

1561160432140 is a gapful number since it is divisible by the number (10) 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 1561160432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712406528000).

1561160432140 is an abundant number, since it is smaller than the sum of its proper divisors (1863652623860).

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

1561160432140 is a wasteful number, since it uses less digits than its factorization.

1561160432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89975 (or 89973 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1561160432140 in words is "one trillion, five hundred sixty-one billion, one hundred sixty million, four hundred thirty-two thousand, one hundred forty".