10420314022320 has 320 divisors, whose sum is σ = 33687291922944. Its totient is φ = 2662482493440.

The previous prime is 10420314022309. The next prime is 10420314022343. The reversal of 10420314022320 is 2322041302401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166605774 + ... + 166668306.

Almost surely, 2^{10420314022320} is an apocalyptic number.

10420314022320 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 10420314022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843645961472).

10420314022320 is an abundant number, since it is smaller than the sum of its proper divisors (23266977900624).

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

10420314022320 is a wasteful number, since it uses less digits than its factorization.

10420314022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62900 (or 62894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10420314022320 its reverse (2322041302401), we get a palindrome (12742355324721).

The spelling of 10420314022320 in words is "ten trillion, four hundred twenty billion, three hundred fourteen million, twenty-two thousand, three hundred twenty".