10125411000440 has 192 divisors, whose sum is σ = 23578827723360. Its totient is φ = 3912320839680.

The previous prime is 10125411000359. The next prime is 10125411000443. The reversal of 10125411000440 is 4400011452101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125411000443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2584989362 + ... + 2584993278.

Almost surely, 2^{10125411000440} is an apocalyptic number.

10125411000440 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 10125411000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789413861680).

10125411000440 is an abundant number, since it is smaller than the sum of its proper divisors (13453416722920).

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

10125411000440 is a wasteful number, since it uses less digits than its factorization.

10125411000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 10125411000440 its reverse (4400011452101), we get a palindrome (14525422452541).

The spelling of 10125411000440 in words is "ten trillion, one hundred twenty-five billion, four hundred eleven million, four hundred forty", and thus it is an aban number.