1334128320 has 784 divisors, whose sum is σ = 5863376640. Its totient is φ = 282175488.

The previous prime is 1334128303. The next prime is 1334128333. The reversal of 1334128320 is 238214331.

1334128320 is a `hidden beast` number, since 1 + 334 + 1 + 2 + 8 + 320 = 666.

It is a super-3 number, since 3×1334128320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31026219 + ... + 31026261.

Almost surely, 2^1334128320 is an apocalyptic number.

1334128320 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 1334128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931688320).

1334128320 is an abundant number, since it is smaller than the sum of its proper divisors (4529248320).

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

1334128320 is an equidigital number, since it uses as much as digits as its factorization.

1334128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1334128320 is about 36525.7213481130. The cubic root of 1334128320 is about 1100.8611218484.

The spelling of 1334128320 in words is "one billion, three hundred thirty-four million, one hundred twenty-eight thousand, three hundred twenty".