10402334334120 has 64 divisors (see below), whose sum is σ = 31218856211520. Its totient is φ = 2772902203904.

The previous prime is 10402334334097. The next prime is 10402334334121. The reversal of 10402334334120 is 2143343320401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10402334334121) 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, 16145514 + ... + 16777433.

It is an arithmetic number, because the mean of its divisors is an integer number (487794628305).

Almost surely, 2^{10402334334120} is an apocalyptic number.

10402334334120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402334334120 is an abundant number, since it is smaller than the sum of its proper divisors (20816521877400).

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

10402334334120 is a wasteful number, since it uses less digits than its factorization.

10402334334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32925594 (or 32925590 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10402334334120 its reverse (2143343320401), we get a palindrome (12545677654521).

The spelling of 10402334334120 in words is "ten trillion, four hundred two billion, three hundred thirty-four million, three hundred thirty-four thousand, one hundred twenty".