10414442113440 has 96 divisors (see below), whose sum is σ = 33123992743296. Its totient is φ = 2750221593600.

The previous prime is 10414442113423. The next prime is 10414442113447. The reversal of 10414442113440 is 4431124441401.

10414442113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10414442113440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10414442113447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105274611 + ... + 105373490.

It is an arithmetic number, because the mean of its divisors is an integer number (345041591076).

Almost surely, 2^{10414442113440} is an apocalyptic number.

10414442113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414442113440 is an abundant number, since it is smaller than the sum of its proper divisors (22709550629856).

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

10414442113440 is a wasteful number, since it uses less digits than its factorization.

10414442113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210648222 (or 210648214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 10414442113440 its reverse (4431124441401), we get a palindrome (14845566554841).

The spelling of 10414442113440 in words is "ten trillion, four hundred fourteen billion, four hundred forty-two million, one hundred thirteen thousand, four hundred forty".