10405112643450 has 384 divisors, whose sum is σ = 35605149696000. Its totient is φ = 2180454163200.

The previous prime is 10405112643383. The next prime is 10405112643461. The reversal of 10405112643450 is 5434621150401.

10405112643450 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 1 + 1 + 2 + 643 + 4 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4631356 + ... + 6500744.

It is an arithmetic number, because the mean of its divisors is an integer number (92721744000).

Almost surely, 2^{10405112643450} is an apocalyptic number.

10405112643450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405112643450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802574848000).

10405112643450 is an abundant number, since it is smaller than the sum of its proper divisors (25200037052550).

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

10405112643450 is a wasteful number, since it uses less digits than its factorization.

10405112643450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869467 (or 1869456 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10405112643450 its reverse (5434621150401), we get a palindrome (15839733793851).

The spelling of 10405112643450 in words is "ten trillion, four hundred five billion, one hundred twelve million, six hundred forty-three thousand, four hundred fifty".