414111340422120 has 64 divisors (see below), whose sum is σ = 1355273477749440. Its totient is φ = 100390627980800.

The previous prime is 414111340422067. The next prime is 414111340422167. The reversal of 414111340422120 is 21224043111414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156860354901 + ... + 156860357540.

It is an arithmetic number, because the mean of its divisors is an integer number (21176148089835).

Almost surely, 2^{414111340422120} is an apocalyptic number.

414111340422120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414111340422120 is an abundant number, since it is smaller than the sum of its proper divisors (941162137327320).

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

414111340422120 is a wasteful number, since it uses less digits than its factorization.

414111340422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313720712466 (or 313720712462 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 414111340422120 its reverse (21224043111414), we get a palindrome (435335383533534).

The spelling of 414111340422120 in words is "four hundred fourteen trillion, one hundred eleven billion, three hundred forty million, four hundred twenty-two thousand, one hundred twenty".