10124412312040 has 96 divisors (see below), whose sum is σ = 24678255618720. Its totient is φ = 3736542161664.

The previous prime is 10124412312011. The next prime is 10124412312059. The reversal of 10124412312040 is 4021321442101.

It is a junction number, because it is equal to n+sod(n) for n = 10124412311996 and 10124412312014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14552359 + ... + 15232201.

It is an arithmetic number, because the mean of its divisors is an integer number (257065162695).

Almost surely, 2^{10124412312040} is an apocalyptic number.

10124412312040 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 10124412312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339127809360).

10124412312040 is an abundant number, since it is smaller than the sum of its proper divisors (14553843306680).

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

10124412312040 is a wasteful number, since it uses less digits than its factorization.

10124412312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682083 (or 682066 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10124412312040 its reverse (4021321442101), we get a palindrome (14145733754141).

The spelling of 10124412312040 in words is "ten trillion, one hundred twenty-four billion, four hundred twelve million, three hundred twelve thousand, forty".