1351441005200 has 240 divisors, whose sum is σ = 3817629114432. Its totient is φ = 453254400000.

The previous prime is 1351441005149. The next prime is 1351441005251. The reversal of 1351441005200 is 25001441531.

It is an interprime number because it is at equal distance from previous prime (1351441005149) and next prime (1351441005251).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1351441005200.

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 47 ways as a sum of consecutive naturals, for example, 73836050 + ... + 73854350.

Almost surely, 2^{1351441005200} is an apocalyptic number.

1351441005200 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 1351441005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908814557216).

1351441005200 is an abundant number, since it is smaller than the sum of its proper divisors (2466188109232).

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

1351441005200 is a wasteful number, since it uses less digits than its factorization.

1351441005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19634 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 1351441005200 its reverse (25001441531), we get a palindrome (1376442446731).

The spelling of 1351441005200 in words is "one trillion, three hundred fifty-one billion, four hundred forty-one million, five thousand, two hundred".