1258891040 has 96 divisors (see below), whose sum is σ = 3254126400. Its totient is φ = 456422400.

The previous prime is 1258891013. The next prime is 1258891057. The reversal of 1258891040 is 401988521.

It is a junction number, because it is equal to n+sod(n) for n = 1258890985 and 1258891003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740111 + ... + 741809.

It is an arithmetic number, because the mean of its divisors is an integer number (33897150).

Almost surely, 2^1258891040 is an apocalyptic number.

1258891040 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 1258891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627063200).

1258891040 is an abundant number, since it is smaller than the sum of its proper divisors (1995235360).

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

1258891040 is a wasteful number, since it uses less digits than its factorization.

1258891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 1258891040 is about 35480.8545556614. The cubic root of 1258891040 is about 1079.7653353893.

It can be divided in two parts, 1258 and 891040, that added together give a palindrome (892298).

The spelling of 1258891040 in words is "one billion, two hundred fifty-eight million, eight hundred ninety-one thousand, forty".