261242701416 has 160 divisors (see below), whose sum is σ = 770996318400. Its totient is φ = 82415957760.

The previous prime is 261242701361. The next prime is 261242701469. The reversal of 261242701416 is 614107242162.

261242701416 is a `hidden beast` number, since 2 + 612 + 4 + 27 + 0 + 1 + 4 + 16 = 666.

261242701416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 13077676 + ... + 13097636.

It is an arithmetic number, because the mean of its divisors is an integer number (4818726990).

Almost surely, 2^261242701416 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 261242701416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385498159200).

261242701416 is an abundant number, since it is smaller than the sum of its proper divisors (509753616984).

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

261242701416 is a wasteful number, since it uses less digits than its factorization.

261242701416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21061 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 261242701416 its reverse (614107242162), we get a palindrome (875349943578).

The spelling of 261242701416 in words is "two hundred sixty-one billion, two hundred forty-two million, seven hundred one thousand, four hundred sixteen".