1055416320 has 336 divisors, whose sum is σ = 4191426720. Its totient is φ = 240648192.

The previous prime is 1055416309. The next prime is 1055416331. The reversal of 1055416320 is 236145501.

It is an interprime number because it is at equal distance from previous prime (1055416309) and next prime (1055416331).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1055416320² = 2227807217044684800, which 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580276 + ... + 2580684.

Almost surely, 2^1055416320 is an apocalyptic number.

1055416320 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 1055416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095713360).

1055416320 is an abundant number, since it is smaller than the sum of its proper divisors (3136010400).

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

1055416320 is an equidigital number, since it uses as much as digits as its factorization.

1055416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1055416320 is about 32487.1716220418. The cubic root of 1055416320 is about 1018.1410200103.

The spelling of 1055416320 in words is "one billion, fifty-five million, four hundred sixteen thousand, three hundred twenty".