1256441540 has 24 divisors (see below), whose sum is σ = 2641268952. Its totient is φ = 502054400.

The previous prime is 1256441507. The next prime is 1256441561. The reversal of 1256441540 is 451446521.

It can be written as a sum of positive squares in 4 ways, for example, as 297424516 + 959017024 = 17246^2 + 30968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1256441497 and 1256441506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12611 + ... + 51690.

It is an arithmetic number, because the mean of its divisors is an integer number (110052873).

Almost surely, 2^1256441540 is an apocalyptic number.

1256441540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256441540 is an abundant number, since it is smaller than the sum of its proper divisors (1384827412).

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

1256441540 is a wasteful number, since it uses less digits than its factorization.

1256441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65287 (or 65285 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1256441540 is about 35446.3191318929. The cubic root of 1256441540 is about 1079.0645592302.

The spelling of 1256441540 in words is "one billion, two hundred fifty-six million, four hundred forty-one thousand, five hundred forty".