414123131440 has 40 divisors (see below), whose sum is σ = 964006344288. Its totient is φ = 165447951360.

The previous prime is 414123131419. The next prime is 414123131441. The reversal of 414123131440 is 44131321414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 414123131399 and 414123131408.

It is not an unprimeable number, because it can be changed into a prime (414123131441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3079081 + ... + 3210760.

Almost surely, 2^414123131440 is an apocalyptic number.

414123131440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414123131440 is an abundant number, since it is smaller than the sum of its proper divisors (549883212848).

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

414123131440 is a wasteful number, since it uses less digits than its factorization.

414123131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290677 (or 6290671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 414123131440 its reverse (44131321414), we get a palindrome (458254452854).

The spelling of 414123131440 in words is "four hundred fourteen billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".