1305241200144 has 320 divisors, whose sum is σ = 4307404308480. Its totient is φ = 370697472000.

The previous prime is 1305241200139. The next prime is 1305241200157. The reversal of 1305241200144 is 4410021425031.

1305241200144 is a `hidden beast` number, since 1 + 3 + 0 + 524 + 120 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460726152 + ... + 460728984.

It is an arithmetic number, because the mean of its divisors is an integer number (13460638464).

Almost surely, 2^{1305241200144} is an apocalyptic number.

1305241200144 is a gapful number since it is divisible by the number (14) 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 1305241200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153702154240).

1305241200144 is an abundant number, since it is smaller than the sum of its proper divisors (3002163108336).

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

1305241200144 is a wasteful number, since it uses less digits than its factorization.

1305241200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1305241200144 its reverse (4410021425031), we get a palindrome (5715262625175).

The spelling of 1305241200144 in words is "one trillion, three hundred five billion, two hundred forty-one million, two hundred thousand, one hundred forty-four".