10256434023040 has 64 divisors (see below), whose sum is σ = 24698260699560. Its totient is φ = 4072627781632.

The previous prime is 10256434023037. The next prime is 10256434023041. The reversal of 10256434023040 is 4032043465201.

It can be written as a sum of positive squares in 4 ways, for example, as 8326179502144 + 1930254520896 = 2885512^2 + 1389336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10256434022987 and 10256434023005.

It is not an unprimeable number, because it can be changed into a prime (10256434023041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58400197 + ... + 58575556.

Almost surely, 2^{10256434023040} is an apocalyptic number.

10256434023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10256434023040 is an abundant number, since it is smaller than the sum of its proper divisors (14441826676520).

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

10256434023040 is a wasteful number, since it uses less digits than its factorization.

10256434023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116975909 (or 116975897 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 10256434023040 its reverse (4032043465201), we get a palindrome (14288477488241).

The spelling of 10256434023040 in words is "ten trillion, two hundred fifty-six billion, four hundred thirty-four million, twenty-three thousand, forty".