1341400320 has 432 divisors, whose sum is σ = 5122550160. Its totient is φ = 323960832.

The previous prime is 1341400297. The next prime is 1341400327. The reversal of 1341400320 is 230041431.

1341400320 is a `hidden beast` number, since 1 + 341 + 4 + 0 + 0 + 320 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 868598784 + 472801536 = 29472^2 + 21744^2 .

It is a super-2 number, since 2×1341400320² = 3598709636992204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1341400293 and 1341400302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341400327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25309414 + ... + 25309466.

It is an arithmetic number, because the mean of its divisors is an integer number (11857755).

Almost surely, 2^1341400320 is an apocalyptic number.

1341400320 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 1341400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561275080).

1341400320 is an abundant number, since it is smaller than the sum of its proper divisors (3781149840).

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

1341400320 is an equidigital number, since it uses as much as digits as its factorization.

1341400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

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

The square root of 1341400320 is about 36625.1323547097. The cubic root of 1341400320 is about 1102.8576716023.

Adding to 1341400320 its reverse (230041431), we get a palindrome (1571441751).

The spelling of 1341400320 in words is "one billion, three hundred forty-one million, four hundred thousand, three hundred twenty".