1051403442400 has 144 divisors (see below), whose sum is σ = 2678956692048. Its totient is φ = 402561536000.

The previous prime is 1051403442391. The next prime is 1051403442407. The reversal of 1051403442400 is 42443041501.

It is a super-2 number, since 2×1051403442400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051403442407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435995 + ... + 2040805.

It is an arithmetic number, because the mean of its divisors is an integer number (18603865917).

Almost surely, 2^{1051403442400} is an apocalyptic number.

1051403442400 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 1051403442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339478346024).

1051403442400 is an abundant number, since it is smaller than the sum of its proper divisors (1627553249648).

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

1051403442400 is a wasteful number, since it uses less digits than its factorization.

1051403442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604925 (or 604912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 1051403442400 its reverse (42443041501), we get a palindrome (1093846483901).

The spelling of 1051403442400 in words is "one trillion, fifty-one billion, four hundred three million, four hundred forty-two thousand, four hundred".