1350434400000 has 864 divisors, whose sum is σ = 5301796663296. Its totient is φ = 298598400000.

The previous prime is 1350434399981. The next prime is 1350434400037. The reversal of 1350434400000 is 44340531.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520798704 + ... + 520801296.

Almost surely, 2^{1350434400000} is an apocalyptic number.

1350434400000 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 1350434400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650898331648).

1350434400000 is an abundant number, since it is smaller than the sum of its proper divisors (3951362263296).

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

1350434400000 is an frugal number, since it uses more digits than its factorization.

1350434400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1350434400000 its reverse (44340531), we get a palindrome (1350478740531).

The spelling of 1350434400000 in words is "one trillion, three hundred fifty billion, four hundred thirty-four million, four hundred thousand".