261424001140 has 48 divisors (see below), whose sum is σ = 582626740752. Its totient is φ = 98191097856.

The previous prime is 261424001117. The next prime is 261424001149. The reversal of 261424001140 is 41100424162.

It can be written as a sum of positive squares in 8 ways, for example, as 16006804324 + 245417196816 = 126518^2 + 495396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261424001149) 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, 740649 + ... + 1035088.

It is an arithmetic number, because the mean of its divisors is an integer number (12138057099).

Almost surely, 2^261424001140 is an apocalyptic number.

261424001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261424001140 is an abundant number, since it is smaller than the sum of its proper divisors (321202739612).

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

261424001140 is a wasteful number, since it uses less digits than its factorization.

261424001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776196 (or 1776194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 261424001140 in words is "two hundred sixty-one billion, four hundred twenty-four million, one thousand, one hundred forty".