10414422502120 has 256 divisors, whose sum is σ = 30541816972800. Its totient is φ = 3101561487360.

The previous prime is 10414422502093. The next prime is 10414422502123. The reversal of 10414422502120 is 2120522441401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10414422502123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467863551 + ... + 467885809.

It is an arithmetic number, because the mean of its divisors is an integer number (119303972550).

Almost surely, 2^{10414422502120} is an apocalyptic number.

10414422502120 is a gapful number since it is divisible by the number (10) 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 10414422502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270908486400).

10414422502120 is an abundant number, since it is smaller than the sum of its proper divisors (20127394470680).

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

10414422502120 is a wasteful number, since it uses less digits than its factorization.

10414422502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29868 (or 29864 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 10414422502120 its reverse (2120522441401), we get a palindrome (12534944943521).

The spelling of 10414422502120 in words is "ten trillion, four hundred fourteen billion, four hundred twenty-two million, five hundred two thousand, one hundred twenty".