1405123344400 has 120 divisors (see below), whose sum is σ = 3420394705728. Its totient is φ = 554673600000.

The previous prime is 1405123344379. The next prime is 1405123344433. The reversal of 1405123344400 is 44433215041.

It is a super-2 number, since 2×1405123344400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9410325 + ... + 9558475.

Almost surely, 2^{1405123344400} is an apocalyptic number.

1405123344400 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 1405123344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710197352864).

1405123344400 is an abundant number, since it is smaller than the sum of its proper divisors (2015271361328).

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

1405123344400 is a wasteful number, since it uses less digits than its factorization.

1405123344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148481 (or 148470 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 1405123344400 its reverse (44433215041), we get a palindrome (1449556559441).

The spelling of 1405123344400 in words is "one trillion, four hundred five billion, one hundred twenty-three million, three hundred forty-four thousand, four hundred".