259742881440 has 240 divisors, whose sum is σ = 1047629987712. Its totient is φ = 59369780736.

The previous prime is 259742881429. The next prime is 259742881451. The reversal of 259742881440 is 44188247952.

259742881440 is a `hidden beast` number, since 2 + 59 + 74 + 2 + 8 + 81 + 440 = 666.

259742881440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259742881429) and next prime (259742881451).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1340844 + ... + 1522283.

Almost surely, 2^259742881440 is an apocalyptic number.

259742881440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259742881440 is an abundant number, since it is smaller than the sum of its proper divisors (787887106272).

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

259742881440 is a wasteful number, since it uses less digits than its factorization.

259742881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863161 (or 2863144 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 259742881440 in words is "two hundred fifty-nine billion, seven hundred forty-two million, eight hundred eighty-one thousand, four hundred forty".