1466128800 has 216 divisors, whose sum is σ = 5206877676. Its totient is φ = 388177920.

The previous prime is 1466128793. The next prime is 1466128801. The reversal of 1466128800 is 88216641.

It can be written as a sum of positive squares in 6 ways, for example, as 902161296 + 563967504 = 30036^2 + 23748^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1466128801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1129752 + ... + 1131048.

Almost surely, 2^1466128800 is an apocalyptic number.

1466128800 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 1466128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603438838).

1466128800 is an abundant number, since it is smaller than the sum of its proper divisors (3740748876).

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

1466128800 is a wasteful number, since it uses less digits than its factorization.

1466128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1466128800 is about 38290.0613736776. The cubic root of 1466128800 is about 1136.0323752593.

The spelling of 1466128800 in words is "one billion, four hundred sixty-six million, one hundred twenty-eight thousand, eight hundred".