10412131440300 has 144 divisors (see below), whose sum is σ = 30435520668672. Its totient is φ = 2748040416000.

The previous prime is 10412131440283. The next prime is 10412131440311. The reversal of 10412131440300 is 304413121401.

It is a super-2 number, since 2×10412131440300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81958629 + ... + 82085571.

Almost surely, 2^{10412131440300} is an apocalyptic number.

10412131440300 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 10412131440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217760334336).

10412131440300 is an abundant number, since it is smaller than the sum of its proper divisors (20023389228372).

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

10412131440300 is a wasteful number, since it uses less digits than its factorization.

10412131440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129768 (or 129761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10412131440300 its reverse (304413121401), we get a palindrome (10716544561701).

The spelling of 10412131440300 in words is "ten trillion, four hundred twelve billion, one hundred thirty-one million, four hundred forty thousand, three hundred".