261414604300 has 72 divisors (see below), whose sum is σ = 587342876400. Its totient is φ = 100872011520.

The previous prime is 261414604289. The next prime is 261414604313. The reversal of 261414604300 is 3406414162.

261414604300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×261414604300³ (a number of 35 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 3333946 + ... + 3411454.

It is an arithmetic number, because the mean of its divisors is an integer number (8157539950).

Almost surely, 2^261414604300 is an apocalyptic number.

261414604300 is a gapful number since it is divisible by the number (20) 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 261414604300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293671438200).

261414604300 is an abundant number, since it is smaller than the sum of its proper divisors (325928272100).

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

261414604300 is a wasteful number, since it uses less digits than its factorization.

261414604300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78715 (or 78708 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 261414604300 in words is "two hundred sixty-one billion, four hundred fourteen million, six hundred four thousand, three hundred".