261450433840 has 40 divisors (see below), whose sum is σ = 608864007888. Its totient is φ = 104409550080.

The previous prime is 261450433837. The next prime is 261450433903. The reversal of 261450433840 is 48334054162.

261450433840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 261450433793 and 261450433802.

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 7 ways as a sum of consecutive naturals, for example, 2616646 + ... + 2714725.

Almost surely, 2^261450433840 is an apocalyptic number.

261450433840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261450433840 is an abundant number, since it is smaller than the sum of its proper divisors (347413574048).

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

261450433840 is a wasteful number, since it uses less digits than its factorization.

261450433840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331997 (or 5331991 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 261450433840 in words is "two hundred sixty-one billion, four hundred fifty million, four hundred thirty-three thousand, eight hundred forty".