414013011332440 has 64 divisors (see below), whose sum is σ = 1003201788708000. Its totient is φ = 152863841298432.

The previous prime is 414013011332423. The next prime is 414013011332447. The reversal of 414013011332440 is 44233110310414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013011332447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25446336 + ... + 38412784.

Almost surely, 2^{414013011332440} is an apocalyptic number.

414013011332440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013011332440 is an abundant number, since it is smaller than the sum of its proper divisors (589188777375560).

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

414013011332440 is a wasteful number, since it uses less digits than its factorization.

414013011332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13027876 (or 13027872 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 414013011332440 its reverse (44233110310414), we get a palindrome (458246121642854).

The spelling of 414013011332440 in words is "four hundred fourteen trillion, thirteen billion, eleven million, three hundred thirty-two thousand, four hundred forty".