414323102222040 has 128 divisors (see below), whose sum is σ = 1378195475915520. Its totient is φ = 98795374579200.

The previous prime is 414323102222039. The next prime is 414323102222047. The reversal of 414323102222040 is 40222201323414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414323102221989 and 414323102222007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414323102222047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572715694 + ... + 2572876733.

It is an arithmetic number, because the mean of its divisors is an integer number (10767152155590).

Almost surely, 2^{414323102222040} is an apocalyptic number.

414323102222040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414323102222040 is an abundant number, since it is smaller than the sum of its proper divisors (963872373693480).

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

414323102222040 is a wasteful number, since it uses less digits than its factorization.

414323102222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145592513 (or 5145592509 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414323102222040 its reverse (40222201323414), we get a palindrome (454545303545454).

The spelling of 414323102222040 in words is "four hundred fourteen trillion, three hundred twenty-three billion, one hundred two million, two hundred twenty-two thousand, forty".