10412101214400 has 336 divisors, whose sum is σ = 35735539993344. Its totient is φ = 2649139384320.

The previous prime is 10412101214309. The next prime is 10412101214479. The reversal of 10412101214400 is 441210121401.

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, 43710019 + ... + 43947581.

Almost surely, 2^{10412101214400} is an apocalyptic number.

10412101214400 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 10412101214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867769996672).

10412101214400 is an abundant number, since it is smaller than the sum of its proper divisors (25323438778944).

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

10412101214400 is a wasteful number, since it uses less digits than its factorization.

10412101214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238008 (or 237993 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10412101214400 its reverse (441210121401), we get a palindrome (10853311335801).

The spelling of 10412101214400 in words is "ten trillion, four hundred twelve billion, one hundred one million, two hundred fourteen thousand, four hundred".