1259442144 has 72 divisors (see below), whose sum is σ = 3792232080. Its totient is φ = 395117568.

The previous prime is 1259442139. The next prime is 1259442181. The reversal of 1259442144 is 4412449521.

1259442144 is a `hidden beast` number, since 1 + 2 + 594 + 4 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1259442099 and 1259442108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123724 + ... + 133515.

It is an arithmetic number, because the mean of its divisors is an integer number (52669890).

Almost surely, 2^1259442144 is an apocalyptic number.

It is an amenable number.

1259442144 is an abundant number, since it is smaller than the sum of its proper divisors (2532789936).

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

1259442144 is a wasteful number, since it uses less digits than its factorization.

1259442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257272 (or 257261 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1259442144 is about 35488.6199224484. The cubic root of 1259442144 is about 1079.9228751509.

The spelling of 1259442144 in words is "one billion, two hundred fifty-nine million, four hundred forty-two thousand, one hundred forty-four".