1331424020400 has 120 divisors (see below), whose sum is σ = 4306403063040. Its totient is φ = 351599320320.

The previous prime is 1331424020389. The next prime is 1331424020441. The reversal of 1331424020400 is 40204241331.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 5262420 + ... + 5509619.

It is an arithmetic number, because the mean of its divisors is an integer number (35886692192).

Almost surely, 2^{1331424020400} is an apocalyptic number.

1331424020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331424020400 is an abundant number, since it is smaller than the sum of its proper divisors (2974979042640).

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

1331424020400 is a wasteful number, since it uses less digits than its factorization.

1331424020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772163 (or 10772152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1331424020400 its reverse (40204241331), we get a palindrome (1371628261731).

The spelling of 1331424020400 in words is "one trillion, three hundred thirty-one billion, four hundred twenty-four million, twenty thousand, four hundred".