10402142324320 has 48 divisors (see below), whose sum is σ = 26020653085728. Its totient is φ = 3916100638720.

The previous prime is 10402142324279. The next prime is 10402142324341. The reversal of 10402142324320 is 2342324120401.

It is a super-3 number, since 3×10402142324320³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912155796 + ... + 1912161235.

It is an arithmetic number, because the mean of its divisors is an integer number (542096939286).

Almost surely, 2^{10402142324320} is an apocalyptic number.

10402142324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402142324320 is an abundant number, since it is smaller than the sum of its proper divisors (15618510761408).

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

10402142324320 is a wasteful number, since it uses less digits than its factorization.

10402142324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824317063 (or 3824317055 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10402142324320 its reverse (2342324120401), we get a palindrome (12744466444721).

The spelling of 10402142324320 in words is "ten trillion, four hundred two billion, one hundred forty-two million, three hundred twenty-four thousand, three hundred twenty".