10413430042224 has 160 divisors (see below), whose sum is σ = 29423528916480. Its totient is φ = 3147359846400.

The previous prime is 10413430042199. The next prime is 10413430042241. The reversal of 10413430042224 is 42224003431401.

It is a junction number, because it is equal to n+sod(n) for n = 10413430042191 and 10413430042200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336151024 + ... + 336182000.

It is an arithmetic number, because the mean of its divisors is an integer number (183897055728).

Almost surely, 2^{10413430042224} 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 10413430042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711764458240).

10413430042224 is an abundant number, since it is smaller than the sum of its proper divisors (19010098874256).

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

10413430042224 is a wasteful number, since it uses less digits than its factorization.

10413430042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32639 (or 32633 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10413430042224 its reverse (42224003431401), we get a palindrome (52637433473625).

The spelling of 10413430042224 in words is "ten trillion, four hundred thirteen billion, four hundred thirty million, forty-two thousand, two hundred twenty-four".