1341424320 has 224 divisors, whose sum is σ = 4516404480. Its totient is φ = 336384000.

The previous prime is 1341424303. The next prime is 1341424333. The reversal of 1341424320 is 234241431.

It is a super-3 number, since 3×1341424320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4578094 + ... + 4578386.

It is an arithmetic number, because the mean of its divisors is an integer number (20162520).

Almost surely, 2^1341424320 is an apocalyptic number.

1341424320 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 1341424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258202240).

1341424320 is an abundant number, since it is smaller than the sum of its proper divisors (3174980160).

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

1341424320 is a wasteful number, since it uses less digits than its factorization.

1341424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1341424320 is about 36625.4599971113. The cubic root of 1341424320 is about 1102.8642489146.

Adding to 1341424320 its reverse (234241431), we get a palindrome (1575665751).

The spelling of 1341424320 in words is "one billion, three hundred forty-one million, four hundred twenty-four thousand, three hundred twenty".