10412400400000 has 192 divisors, whose sum is σ = 25958904383160. Its totient is φ = 4159941120000.

The previous prime is 10412400399991. The next prime is 10412400400049. The reversal of 10412400400000 is 400421401.

It can be written as a sum of positive squares in 12 ways, for example, as 10080320202304 + 332080197696 = 3174952^2 + 576264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 341184742 + ... + 341215258.

Almost surely, 2^{10412400400000} is an apocalyptic number.

10412400400000 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 10412400400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979452191580).

10412400400000 is an abundant number, since it is smaller than the sum of its proper divisors (15546503983160).

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

10412400400000 is an frugal number, since it uses more digits than its factorization.

10412400400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31409 (or 31377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10412400400000 its reverse (400421401), we get a palindrome (10412800821401).

The spelling of 10412400400000 in words is "ten trillion, four hundred twelve billion, four hundred million, four hundred thousand".