411414412431440 has 40 divisors (see below), whose sum is σ = 1043496555169248. Its totient is φ = 149605240883840.

The previous prime is 411414412431413. The next prime is 411414412431443. The reversal of 411414412431440 is 44134214414114.

It is a happy number.

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 = 411414412431394 and 411414412431403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411414412431443) 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, 233758188002 + ... + 233758189761.

Almost surely, 2^{411414412431440} is an apocalyptic number.

411414412431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411414412431440 is an abundant number, since it is smaller than the sum of its proper divisors (632082142737808).

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

411414412431440 is a wasteful number, since it uses less digits than its factorization.

411414412431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467516377787 (or 467516377781 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

Adding to 411414412431440 its reverse (44134214414114), we get a palindrome (455548626845554).

The spelling of 411414412431440 in words is "four hundred eleven trillion, four hundred fourteen billion, four hundred twelve million, four hundred thirty-one thousand, four hundred forty".