1331412432400 has 30 divisors (see below), whose sum is σ = 3198718369802. Its totient is φ = 532564972800.

The previous prime is 1331412432323. The next prime is 1331412432421. The reversal of 1331412432400 is 42342141331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5635204624 + 1325777227776 = 75068^2 + 1151424^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1664265141 + ... + 1664265940.

Almost surely, 2^{1331412432400} is an apocalyptic number.

1331412432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331412432400 is an abundant number, since it is smaller than the sum of its proper divisors (1867305937402).

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

1331412432400 is a wasteful number, since it uses less digits than its factorization.

1331412432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328531099 (or 3328531088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1331412432400 its reverse (42342141331), we get a palindrome (1373754573731).

The spelling of 1331412432400 in words is "one trillion, three hundred thirty-one billion, four hundred twelve million, four hundred thirty-two thousand, four hundred".