1055053440 has 384 divisors, whose sum is σ = 4216043520. Its totient is φ = 238141440.

The previous prime is 1055053423. The next prime is 1055053463. The reversal of 1055053440 is 443505501.

1055053440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1055053440² = 2226275522511667200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5523745 + ... + 5523935.

It is an arithmetic number, because the mean of its divisors is an integer number (10979280).

Almost surely, 2^1055053440 is an apocalyptic number.

1055053440 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 1055053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108021760).

1055053440 is an abundant number, since it is smaller than the sum of its proper divisors (3160990080).

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

1055053440 is a wasteful number, since it uses less digits than its factorization.

1055053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1055053440 is about 32481.5861681661. The cubic root of 1055053440 is about 1018.0243187117.

Adding to 1055053440 its reverse (443505501), we get a palindrome (1498558941).

The spelling of 1055053440 in words is "one billion, fifty-five million, fifty-three thousand, four hundred forty".