1301340420 has 72 divisors (see below), whose sum is σ = 3984349824. Its totient is φ = 343775808.

The previous prime is 1301340353. The next prime is 1301340487. The reversal of 1301340420 is 240431031.

1301340420 is a `hidden beast` number, since 1 + 301 + 340 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1301340353) and next prime (1301340487).

It is a super-4 number, since 4×1301340420⁴ (a number of 38 digits) contains 4444 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 = 1301340393 and 1301340402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14524 + ... + 53043.

It is an arithmetic number, because the mean of its divisors is an integer number (55338192).

Almost surely, 2^1301340420 is an apocalyptic number.

1301340420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301340420 is an abundant number, since it is smaller than the sum of its proper divisors (2683009404).

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

1301340420 is a wasteful number, since it uses less digits than its factorization.

1301340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67689 (or 67684 counting only the distinct ones).

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

The square root of 1301340420 is about 36074.0962464758. The cubic root of 1301340420 is about 1091.7678631464.

Adding to 1301340420 its reverse (240431031), we get a palindrome (1541771451).

The spelling of 1301340420 in words is "one billion, three hundred one million, three hundred forty thousand, four hundred twenty".