1326445120 has 448 divisors, whose sum is σ = 4387364352. Its totient is φ = 368640000.

The previous prime is 1326445093. The next prime is 1326445147. The reversal of 1326445120 is 215446231.

It is an interprime number because it is at equal distance from previous prime (1326445093) and next prime (1326445147).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13133070 + ... + 13133170.

It is an arithmetic number, because the mean of its divisors is an integer number (9793224).

Almost surely, 2^1326445120 is an apocalyptic number.

1326445120 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 1326445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193682176).

1326445120 is an abundant number, since it is smaller than the sum of its proper divisors (3060919232).

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

1326445120 is a wasteful number, since it uses less digits than its factorization.

1326445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1326445120 is about 36420.3942867180. The cubic root of 1326445120 is about 1098.7437780368.

The spelling of 1326445120 in words is "one billion, three hundred twenty-six million, four hundred forty-five thousand, one hundred twenty".