414320103233540 has 192 divisors, whose sum is σ = 1013689104841728. Its totient is φ = 139315350988800.

The previous prime is 414320103233389. The next prime is 414320103233657. The reversal of 414320103233540 is 45332301023414.

It is a super-2 number, since 2×414320103233540² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 414320103233540.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575487742 + ... + 1575750698.

It is an arithmetic number, because the mean of its divisors is an integer number (5279630754384).

Almost surely, 2^{414320103233540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414320103233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506844552420864).

414320103233540 is an abundant number, since it is smaller than the sum of its proper divisors (599369001608188).

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

414320103233540 is a wasteful number, since it uses less digits than its factorization.

414320103233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263878 (or 263876 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 414320103233540 its reverse (45332301023414), we get a palindrome (459652404256954).

The spelling of 414320103233540 in words is "four hundred fourteen trillion, three hundred twenty billion, one hundred three million, two hundred thirty-three thousand, five hundred forty".