1259375040 has 560 divisors, whose sum is σ = 5594079744. Its totient is φ = 261273600.

The previous prime is 1259375023. The next prime is 1259375063. The reversal of 1259375040 is 405739521.

1259375040 is a `hidden beast` number, since 12 + 593 + 7 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 1259374986 and 1259375004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995525 + ... + 1996155.

Almost surely, 2^1259375040 is an apocalyptic number.

1259375040 is a gapful number since it is divisible by the number (10) 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 1259375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797039872).

1259375040 is an abundant number, since it is smaller than the sum of its proper divisors (4334704704).

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

1259375040 is a wasteful number, since it uses less digits than its factorization.

1259375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1259375040 is about 35487.6744800219. The cubic root of 1259375040 is about 1079.9036951163.

The spelling of 1259375040 in words is "one billion, two hundred fifty-nine million, three hundred seventy-five thousand, forty".