261934800906240 has 4608 divisors, whose sum is σ = 1246649564160000. Its totient is φ = 50253712588800.

The previous prime is 261934800906209. The next prime is 261934800906263. The reversal of 261934800906240 is 42609008439162.

261934800906240 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 3 + 4 + 8 + 0 + 0 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 270873630237 + ... + 270873631203.

It is an arithmetic number, because the mean of its divisors is an integer number (270540270000).

Almost surely, 2^{261934800906240} is an apocalyptic number.

261934800906240 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 261934800906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623324782080000).

261934800906240 is an abundant number, since it is smaller than the sum of its proper divisors (984714763253760).

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

261934800906240 is a wasteful number, since it uses less digits than its factorization.

261934800906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 261934800906240 in words is "two hundred sixty-one trillion, nine hundred thirty-four billion, eight hundred million, nine hundred six thousand, two hundred forty".