260438530007040 has 1344 divisors, whose sum is σ = 1094013048504960. Its totient is φ = 52250604994560.

The previous prime is 260438530007039. The next prime is 260438530007099. The reversal of 260438530007040 is 40700035834062.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 260438530006983 and 260438530007001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1920669484 + ... + 1920805076.

Almost surely, 2^{260438530007040} is an apocalyptic number.

260438530007040 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 260438530007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547006524252480).

260438530007040 is an abundant number, since it is smaller than the sum of its proper divisors (833574518497920).

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

260438530007040 is a wasteful number, since it uses less digits than its factorization.

260438530007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135681 (or 135650 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 260438530007040 in words is "two hundred sixty trillion, four hundred thirty-eight billion, five hundred thirty million, seven thousand, forty".