261420121606344 has 64 divisors (see below), whose sum is σ = 682122452739840. Its totient is φ = 83410623229440.

The previous prime is 261420121606207. The next prime is 261420121606349. The reversal of 261420121606344 is 443606121024162.

261420121606344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 261420121606296 and 261420121606305.

It is not an unprimeable number, because it can be changed into a prime (261420121606349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506276672 + ... + 2506380975.

It is an arithmetic number, because the mean of its divisors is an integer number (10658163324060).

Almost surely, 2^{261420121606344} is an apocalyptic number.

261420121606344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261420121606344 is an abundant number, since it is smaller than the sum of its proper divisors (420702331133496).

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

261420121606344 is a wasteful number, since it uses less digits than its factorization.

261420121606344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012657750 (or 5012657746 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 261420121606344 in words is "two hundred sixty-one trillion, four hundred twenty billion, one hundred twenty-one million, six hundred six thousand, three hundred forty-four".