300144400413 has 32 divisors (see below), whose sum is σ = 471080292480. Its totient is φ = 167582941440.

The previous prime is 300144400403. The next prime is 300144400421. The reversal of 300144400413 is 314004441003.

It is not a de Polignac number, because 300144400413 - 2¹³ = 300144392221 is a prime.

It is a super-2 number, since 2×300144400413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300144400403) 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 31 ways as a sum of consecutive naturals, for example, 468906 + ... + 905627.

It is an arithmetic number, because the mean of its divisors is an integer number (14721259140).

Almost surely, 2^300144400413 is an apocalyptic number.

300144400413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

300144400413 is a deficient number, since it is larger than the sum of its proper divisors (170935892067).

300144400413 is a wasteful number, since it uses less digits than its factorization.

300144400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375069.

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

Adding to 300144400413 its reverse (314004441003), we get a palindrome (614148841416).

The spelling of 300144400413 in words is "three hundred billion, one hundred forty-four million, four hundred thousand, four hundred thirteen".