260790935040 has 640 divisors, whose sum is σ = 950922529920. Its totient is φ = 67721232384.

The previous prime is 260790935039. The next prime is 260790935047. The reversal of 260790935040 is 40539097062.

It is a happy number.

260790935040 is a `hidden beast` number, since 2 + 607 + 9 + 0 + 9 + 35 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260790935047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941483382 + ... + 941483658.

It is an arithmetic number, because the mean of its divisors is an integer number (1485816453).

Almost surely, 2^260790935040 is an apocalyptic number.

260790935040 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 260790935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475461264960).

260790935040 is an abundant number, since it is smaller than the sum of its proper divisors (690131594880).

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

260790935040 is a wasteful number, since it uses less digits than its factorization.

260790935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 260790935040 in words is "two hundred sixty billion, seven hundred ninety million, nine hundred thirty-five thousand, forty".