1218300440448 has 1024 divisors, whose sum is σ = 4242928435200. Its totient is φ = 301186252800.

The previous prime is 1218300440437. The next prime is 1218300440459. The reversal of 1218300440448 is 8440440038121.

It is an interprime number because it is at equal distance from previous prime (1218300440437) and next prime (1218300440459).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6806147623 + ... + 6806147801.

It is an arithmetic number, because the mean of its divisors is an integer number (4143484800).

Almost surely, 2^{1218300440448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218300440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121464217600).

1218300440448 is an abundant number, since it is smaller than the sum of its proper divisors (3024627994752).

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

1218300440448 is a wasteful number, since it uses less digits than its factorization.

1218300440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Adding to 1218300440448 its reverse (8440440038121), we get a palindrome (9658740478569).

The spelling of 1218300440448 in words is "one trillion, two hundred eighteen billion, three hundred million, four hundred forty thousand, four hundred forty-eight".