4105051434400 has 144 divisors (see below), whose sum is σ = 11554450092864. Its totient is φ = 1394990714880.

The previous prime is 4105051434391. The next prime is 4105051434401. The reversal of 4105051434400 is 44341505014.

4105051434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4105051434401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2610762 + ... + 3876361.

It is an arithmetic number, because the mean of its divisors is an integer number (80239236756).

Almost surely, 2^{4105051434400} is an apocalyptic number.

4105051434400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105051434400 is an abundant number, since it is smaller than the sum of its proper divisors (7449398658464).

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

4105051434400 is a wasteful number, since it uses less digits than its factorization.

4105051434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487263 (or 6487250 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 4105051434400 its reverse (44341505014), we get a palindrome (4149392939414).

The spelling of 4105051434400 in words is "four trillion, one hundred five billion, fifty-one million, four hundred thirty-four thousand, four hundred".