1331144522400 has 1728 divisors, whose sum is σ = 5773958443008. Its totient is φ = 260198400000.

The previous prime is 1331144522363. The next prime is 1331144522417. The reversal of 1331144522400 is 42254411331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3319562200 + ... + 3319562600.

It is an arithmetic number, because the mean of its divisors is an integer number (3341411136).

Almost surely, 2^{1331144522400} is an apocalyptic number.

1331144522400 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 1331144522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886979221504).

1331144522400 is an abundant number, since it is smaller than the sum of its proper divisors (4442813920608).

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

1331144522400 is a wasteful number, since it uses less digits than its factorization.

1331144522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 523 counting only the distinct ones).

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

Adding to 1331144522400 its reverse (42254411331), we get a palindrome (1373398933731).

The spelling of 1331144522400 in words is "one trillion, three hundred thirty-one billion, one hundred forty-four million, five hundred twenty-two thousand, four hundred".