10414400022310 has 64 divisors (see below), whose sum is σ = 19759009342464. Its totient is φ = 3944354128000.

The previous prime is 10414400022283. The next prime is 10414400022319. The reversal of 10414400022310 is 1322000441401.

It is a happy number.

10414400022310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10414400022310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414400022319) 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, 31854975 + ... + 32180245.

It is an arithmetic number, because the mean of its divisors is an integer number (308734520976).

Almost surely, 2^{10414400022310} is an apocalyptic number.

10414400022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10414400022310 is a deficient number, since it is larger than the sum of its proper divisors (9344609320154).

10414400022310 is a wasteful number, since it uses less digits than its factorization.

10414400022310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326709.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10414400022310 its reverse (1322000441401), we get a palindrome (11736400463711).

The spelling of 10414400022310 in words is "ten trillion, four hundred fourteen billion, four hundred million, twenty-two thousand, three hundred ten".