1332408000 has 672 divisors, whose sum is σ = 5637385728. Its totient is φ = 274176000.

The previous prime is 1332407971. The next prime is 1332408071. The reversal of 1332408000 is 8042331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1332408000² = 3550622156928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12935949 + ... + 12936051.

Almost surely, 2^1332408000 is an apocalyptic number.

1332408000 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 1332408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818692864).

1332408000 is an abundant number, since it is smaller than the sum of its proper divisors (4304977728).

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

1332408000 is a wasteful number, since it uses less digits than its factorization.

1332408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1332408000 is about 36502.1643193934. The cubic root of 1332408000 is about 1100.3877420955.

The spelling of 1332408000 in words is "one billion, three hundred thirty-two million, four hundred eight thousand".