1332030242400 has 432 divisors, whose sum is σ = 5132361789072. Its totient is φ = 298075852800.

The previous prime is 1332030242297. The next prime is 1332030242401. The reversal of 1332030242400 is 42420302331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332030242401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3598782 + ... + 3951618.

Almost surely, 2^{1332030242400} is an apocalyptic number.

1332030242400 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 1332030242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566180894536).

1332030242400 is an abundant number, since it is smaller than the sum of its proper divisors (3800331546672).

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

1332030242400 is a wasteful number, since it uses less digits than its factorization.

1332030242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352895 (or 352871 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1332030242400 its reverse (42420302331), we get a palindrome (1374450544731).

The spelling of 1332030242400 in words is "one trillion, three hundred thirty-two billion, thirty million, two hundred forty-two thousand, four hundred".