1054144515424 has 432 divisors, whose sum is σ = 2870569787904. Its totient is φ = 377410682880.

The previous prime is 1054144515349. The next prime is 1054144515467. The reversal of 1054144515424 is 4245154414501.

It is a super-2 number, since 2×1054144515424² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633880417 + ... + 633882079.

It is an arithmetic number, because the mean of its divisors is an integer number (6644837472).

Almost surely, 2^{1054144515424} is an apocalyptic number.

1054144515424 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 1054144515424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435284893952).

1054144515424 is an abundant number, since it is smaller than the sum of its proper divisors (1816425272480).

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

1054144515424 is a wasteful number, since it uses less digits than its factorization.

1054144515424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

Adding to 1054144515424 its reverse (4245154414501), we get a palindrome (5299298929925).

The spelling of 1054144515424 in words is "one trillion, fifty-four billion, one hundred forty-four million, five hundred fifteen thousand, four hundred twenty-four".