413143114332240 has 160 divisors (see below), whose sum is σ = 1442542320608640. Its totient is φ = 108662298522624.

The previous prime is 413143114332197. The next prime is 413143114332287. The reversal of 413143114332240 is 42233411341314.

413143114332240 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 311 + 4 + 332 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×413143114332240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413143114332195 and 413143114332204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309910542 + ... + 1310225901.

It is an arithmetic number, because the mean of its divisors is an integer number (9015889503804).

Almost surely, 2^{413143114332240} is an apocalyptic number.

413143114332240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413143114332240 is an abundant number, since it is smaller than the sum of its proper divisors (1029399206276400).

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

413143114332240 is a wasteful number, since it uses less digits than its factorization.

413143114332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620136538 (or 2620136526 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 413143114332240 its reverse (42233411341314), we get a palindrome (455376525673554).

The spelling of 413143114332240 in words is "four hundred thirteen trillion, one hundred forty-three billion, one hundred fourteen million, three hundred thirty-two thousand, two hundred forty".