1054331405344 has 288 divisors, whose sum is σ = 2655339382080. Its totient is φ = 409156780032.

The previous prime is 1054331405311. The next prime is 1054331405359. The reversal of 1054331405344 is 4435041334501.

It is a super-2 number, since 2×1054331405344² (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 47 ways as a sum of consecutive naturals, for example, 76789072 + ... + 76802800.

It is an arithmetic number, because the mean of its divisors is an integer number (9219928410).

Almost surely, 2^{1054331405344} is an apocalyptic number.

1054331405344 is a gapful number since it is divisible by the number (14) 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 1054331405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327669691040).

1054331405344 is an abundant number, since it is smaller than the sum of its proper divisors (1601007976736).

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

1054331405344 is a wasteful number, since it uses less digits than its factorization.

1054331405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13880 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 1054331405344 its reverse (4435041334501), we get a palindrome (5489372739845).

The spelling of 1054331405344 in words is "one trillion, fifty-four billion, three hundred thirty-one million, four hundred five thousand, three hundred forty-four".