414240323140410 has 128 divisors (see below), whose sum is σ = 1078007331308544. Its totient is φ = 101268687421440.

The previous prime is 414240323140381. The next prime is 414240323140421. The reversal of 414240323140410 is 14041323042414.

It is a happy number.

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, 27645615 + ... + 39909405.

It is an arithmetic number, because the mean of its divisors is an integer number (8421932275848).

Almost surely, 2^{414240323140410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414240323140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539003665654272).

414240323140410 is an abundant number, since it is smaller than the sum of its proper divisors (663767008168134).

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

414240323140410 is a wasteful number, since it uses less digits than its factorization.

414240323140410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264408.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 414240323140410 its reverse (14041323042414), we get a palindrome (428281646182824).

The spelling of 414240323140410 in words is "four hundred fourteen trillion, two hundred forty billion, three hundred twenty-three million, one hundred forty thousand, four hundred ten".