1320444234144 has 72 divisors (see below), whose sum is σ = 4291443767520. Its totient is φ = 377269780608.

The previous prime is 1320444234121. The next prime is 1320444234167. The reversal of 1320444234144 is 4414324440231.

1320444234144 is a `hidden beast` number, since 1 + 3 + 204 + 442 + 3 + 4 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1320444234121) and next prime (1320444234167).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1320444234099 and 1320444234108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327489114 + ... + 327493145.

It is an arithmetic number, because the mean of its divisors is an integer number (59603385660).

Almost surely, 2^{1320444234144} is an apocalyptic number.

1320444234144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1320444234144 is an abundant number, since it is smaller than the sum of its proper divisors (2970999533376).

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

1320444234144 is a wasteful number, since it uses less digits than its factorization.

1320444234144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654982282 (or 654982271 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 1320444234144 its reverse (4414324440231), we get a palindrome (5734768674375).

The spelling of 1320444234144 in words is "one trillion, three hundred twenty billion, four hundred forty-four million, two hundred thirty-four thousand, one hundred forty-four".