10414301142432 has 192 divisors, whose sum is σ = 30653198585856. Its totient is φ = 3068631336960.

The previous prime is 10414301142403. The next prime is 10414301142439. The reversal of 10414301142432 is 23424110341401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10414301142432.

It is not an unprimeable number, because it can be changed into a prime (10414301142439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9611748 + ... + 10640220.

It is an arithmetic number, because the mean of its divisors is an integer number (159652075968).

Almost surely, 2^{10414301142432} is an apocalyptic number.

10414301142432 is a gapful number since it is divisible by the number (12) 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 10414301142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326599292928).

10414301142432 is an abundant number, since it is smaller than the sum of its proper divisors (20238897443424).

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

10414301142432 is a wasteful number, since it uses less digits than its factorization.

10414301142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028763 (or 1028755 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10414301142432 its reverse (23424110341401), we get a palindrome (33838411483833).

The spelling of 10414301142432 in words is "ten trillion, four hundred fourteen billion, three hundred one million, one hundred forty-two thousand, four hundred thirty-two".