259041244556340 has 288 divisors, whose sum is σ = 837691671398400. Its totient is φ = 64568036855808.

The previous prime is 259041244556327. The next prime is 259041244556383. The reversal of 259041244556340 is 43655442140952.

259041244556340 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 4 + 1 + 2 + 44 + 556 + 3 + 40 = 666.

It is a congruent number.

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, 3238501827 + ... + 3238581813.

It is an arithmetic number, because the mean of its divisors is an integer number (2908651636800).

Almost surely, 2^{259041244556340} is an apocalyptic number.

259041244556340 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 259041244556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418845835699200).

259041244556340 is an abundant number, since it is smaller than the sum of its proper divisors (578650426842060).

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

259041244556340 is a wasteful number, since it uses less digits than its factorization.

259041244556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87271 (or 87266 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 259041244556340 in words is "two hundred fifty-nine trillion, forty-one billion, two hundred forty-four million, five hundred fifty-six thousand, three hundred forty".