10420095479808 has 624 divisors, whose sum is σ = 33342156165120. Its totient is φ = 2884126113792.

The previous prime is 10420095479803. The next prime is 10420095479819. The reversal of 10420095479808 is 80897459002401.

It is a super-2 number, since 2×10420095479808² (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 (10420095479803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288132048 + ... + 3288135216.

Almost surely, 2^{10420095479808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420095479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671078082560).

10420095479808 is an abundant number, since it is smaller than the sum of its proper divisors (22922060685312).

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

10420095479808 is a wasteful number, since it uses less digits than its factorization.

10420095479808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 10420095479808 in words is "ten trillion, four hundred twenty billion, ninety-five million, four hundred seventy-nine thousand, eight hundred eight".