261743225040 has 400 divisors, whose sum is σ = 1023715478016. Its totient is φ = 61405516800.

The previous prime is 261743225017. The next prime is 261743225111. The reversal of 261743225040 is 40522347162.

261743225040 is a `hidden beast` number, since 2 + 61 + 74 + 3 + 22 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 261743224986 and 261743225004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2150454 + ... + 2268906.

Almost surely, 2^261743225040 is an apocalyptic number.

261743225040 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 261743225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511857739008).

261743225040 is an abundant number, since it is smaller than the sum of its proper divisors (761972252976).

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

261743225040 is a wasteful number, since it uses less digits than its factorization.

261743225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118520 (or 118505 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 261743225040 in words is "two hundred sixty-one billion, seven hundred forty-three million, two hundred twenty-five thousand, forty".