1320424343040 has 320 divisors, whose sum is σ = 4614978551040. Its totient is φ = 319407882240.

The previous prime is 1320424343033. The next prime is 1320424343099. The reversal of 1320424343040 is 403434240231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1320424342989 and 1320424343007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39435426 + ... + 39468894.

It is an arithmetic number, because the mean of its divisors is an integer number (14421807972).

Almost surely, 2^{1320424343040} is an apocalyptic number.

1320424343040 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 1320424343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307489275520).

1320424343040 is an abundant number, since it is smaller than the sum of its proper divisors (3294554208000).

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

1320424343040 is a wasteful number, since it uses less digits than its factorization.

1320424343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33973 (or 33957 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1320424343040 its reverse (403434240231), we get a palindrome (1723858583271).

The spelling of 1320424343040 in words is "one trillion, three hundred twenty billion, four hundred twenty-four million, three hundred forty-three thousand, forty".