261321062042400 has 144 divisors (see below), whose sum is σ = 852172334854848. Its totient is φ = 69556807296000.

The previous prime is 261321062042323. The next prime is 261321062042407. The reversal of 261321062042400 is 4240260123162.

It is not an unprimeable number, because it can be changed into a prime (261321062042407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99333556 + ... + 101930355.

It is an arithmetic number, because the mean of its divisors is an integer number (5917863436492).

Almost surely, 2^{261321062042400} is an apocalyptic number.

261321062042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261321062042400 is an abundant number, since it is smaller than the sum of its proper divisors (590851272812448).

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

261321062042400 is a wasteful number, since it uses less digits than its factorization.

261321062042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201264475 (or 201264462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 261321062042400 in words is "two hundred sixty-one trillion, three hundred twenty-one billion, sixty-two million, forty-two thousand, four hundred".