1331241542400 has 432 divisors, whose sum is σ = 5477459920128. Its totient is φ = 276621312000.

The previous prime is 1331241542399. The next prime is 1331241542429. The reversal of 1331241542400 is 42451421331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028170 + ... + 1928630.

Almost surely, 2^{1331241542400} is an apocalyptic number.

1331241542400 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 1331241542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738729960064).

1331241542400 is an abundant number, since it is smaller than the sum of its proper divisors (4146218377728).

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

1331241542400 is a wasteful number, since it uses less digits than its factorization.

1331241542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900508 (or 900489 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1331241542400 its reverse (42451421331), we get a palindrome (1373692963731).

The spelling of 1331241542400 in words is "one trillion, three hundred thirty-one billion, two hundred forty-one million, five hundred forty-two thousand, four hundred".