1320026400 has 432 divisors, whose sum is σ = 5805753408. Its totient is φ = 274176000.

The previous prime is 1320026363. The next prime is 1320026401. The reversal of 1320026400 is 46200231.

It is a happy number.

1320026400 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320026401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553210 + ... + 555590.

It is an arithmetic number, because the mean of its divisors is an integer number (13439244).

Almost surely, 2^1320026400 is an apocalyptic number.

1320026400 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 1320026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902876704).

1320026400 is an abundant number, since it is smaller than the sum of its proper divisors (4485727008).

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

1320026400 is a wasteful number, since it uses less digits than its factorization.

1320026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1320026400 is about 36332.1675653958. The cubic root of 1320026400 is about 1096.9686235132.

Adding to 1320026400 its reverse (46200231), we get a palindrome (1366226631).

The spelling of 1320026400 in words is "one billion, three hundred twenty million, twenty-six thousand, four hundred".