1332412416 has 170 divisors, whose sum is σ = 3996616932. Its totient is φ = 442368000.

The previous prime is 1332412409. The next prime is 1332412423. The reversal of 1332412416 is 6142142331.

It is a happy number.

1332412416 is a `hidden beast` number, since 1 + 3 + 3 + 241 + 2 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (1332412409) and next prime (1332412423).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1332412416.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308291 + ... + 5308541.

Almost surely, 2^1332412416 is an apocalyptic number.

1332412416 is a gapful number since it is divisible by the number (16) 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 1332412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998308466).

1332412416 is an abundant number, since it is smaller than the sum of its proper divisors (2664204516).

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

1332412416 is an frugal number, since it uses more digits than its factorization.

1332412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

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

The square root of 1332412416 is about 36502.2248089072. The cubic root of 1332412416 is about 1100.3889577659.

Adding to 1332412416 its reverse (6142142331), we get a palindrome (7474554747).

The spelling of 1332412416 in words is "one billion, three hundred thirty-two million, four hundred twelve thousand, four hundred sixteen".