1256910040 has 64 divisors (see below), whose sum is σ = 3027456000. Its totient is φ = 468213120.

The previous prime is 1256910007. The next prime is 1256910077. The reversal of 1256910040 is 400196521.

It is a junction number, because it is equal to n+sod(n) for n = 1256909990 and 1256910008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30825 + ... + 58855.

It is an arithmetic number, because the mean of its divisors is an integer number (47304000).

Almost surely, 2^1256910040 is an apocalyptic number.

1256910040 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 1256910040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513728000).

1256910040 is an abundant number, since it is smaller than the sum of its proper divisors (1770545960).

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

1256910040 is a wasteful number, since it uses less digits than its factorization.

1256910040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28120 (or 28116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1256910040 is about 35452.9271005935. The cubic root of 1256910040 is about 1079.1986625444.

The spelling of 1256910040 in words is "one billion, two hundred fifty-six million, nine hundred ten thousand, forty".