414011312440 has 192 divisors, whose sum is σ = 1038252297600. Its totient is φ = 147348115200.

The previous prime is 414011312419. The next prime is 414011312443. The reversal of 414011312440 is 44213110414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414011312443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353553055 + ... + 353554225.

It is an arithmetic number, because the mean of its divisors is an integer number (5407564050).

Almost surely, 2^414011312440 is an apocalyptic number.

414011312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414011312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519126148800).

414011312440 is an abundant number, since it is smaller than the sum of its proper divisors (624240985160).

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

414011312440 is a wasteful number, since it uses less digits than its factorization.

414011312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414011312440 its reverse (44213110414), we get a palindrome (458224422854).

The spelling of 414011312440 in words is "four hundred fourteen billion, eleven million, three hundred twelve thousand, four hundred forty".