414310422141 has 96 divisors (see below), whose sum is σ = 752331740160. Its totient is φ = 213437203200.

The previous prime is 414310422121. The next prime is 414310422161. The reversal of 414310422141 is 141224013414.

414310422141 is a `hidden beast` number, since 4 + 1 + 431 + 0 + 4 + 221 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (414310422121) and next prime (414310422161).

It is not a de Polignac number, because 414310422141 - 2⁵ = 414310422109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414310422121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112797081 + ... + 112800753.

It is an arithmetic number, because the mean of its divisors is an integer number (7836788960).

Almost surely, 2^414310422141 is an apocalyptic number.

It is an amenable number.

414310422141 is a deficient number, since it is larger than the sum of its proper divisors (338021318019).

414310422141 is a wasteful number, since it uses less digits than its factorization.

414310422141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414310422141 its reverse (141224013414), we get a palindrome (555534435555).

The spelling of 414310422141 in words is "four hundred fourteen billion, three hundred ten million, four hundred twenty-two thousand, one hundred forty-one".