41431401201330 has 128 divisors (see below), whose sum is σ = 126600288307200. Its totient is φ = 9445047498432.

The previous prime is 41431401201319. The next prime is 41431401201341. The reversal of 41431401201330 is 3310210413414.

41431401201330 is a `hidden beast` number, since 4 + 1 + 4 + 314 + 0 + 12 + 0 + 1 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (41431401201319) and next prime (41431401201341).

It is a super-2 number, since 2×41431401201330² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41431401201294 and 41431401201303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28203712 + ... + 29636331.

It is an arithmetic number, because the mean of its divisors is an integer number (989064752400).

Almost surely, 2^{41431401201330} is an apocalyptic number.

41431401201330 is an abundant number, since it is smaller than the sum of its proper divisors (85168887105870).

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

41431401201330 is a wasteful number, since it uses less digits than its factorization.

41431401201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57840445 (or 57840439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41431401201330 its reverse (3310210413414), we get a palindrome (44741611614744).

The spelling of 41431401201330 in words is "forty-one trillion, four hundred thirty-one billion, four hundred one million, two hundred one thousand, three hundred thirty".