1057055409424 has 135 divisors (see below), whose sum is σ = 2420314215813. Its totient is φ = 445929636096.

The previous prime is 1057055409413. The next prime is 1057055409437. The reversal of 1057055409424 is 4249045507501.

The square root of 1057055409424 is 1028132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 600036144400 + 457019265024 = 774620^2 + 676032^2 .

It is a super-2 number, since 2×1057055409424² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2101501557 + ... + 2101502059.

Almost surely, 2^{1057055409424} is an apocalyptic number.

1057055409424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1057055409424 is the 1028132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057055409424

1057055409424 is an abundant number, since it is smaller than the sum of its proper divisors (1363258806389).

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

1057055409424 is an frugal number, since it uses more digits than its factorization.

1057055409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The spelling of 1057055409424 in words is "one trillion, fifty-seven billion, fifty-five million, four hundred nine thousand, four hundred twenty-four".