10217428305420 has 384 divisors, whose sum is σ = 34572872355840. Its totient is φ = 2205178859520.

The previous prime is 10217428305407. The next prime is 10217428305433. The reversal of 10217428305420 is 2450382471201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10217428305407) and next prime (10217428305433).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200737494 + ... + 200788386.

It is an arithmetic number, because the mean of its divisors is an integer number (90033521760).

Almost surely, 2^{10217428305420} is an apocalyptic number.

10217428305420 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 10217428305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286436177920).

10217428305420 is an abundant number, since it is smaller than the sum of its proper divisors (24355444050420).

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

10217428305420 is a wasteful number, since it uses less digits than its factorization.

10217428305420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51305 (or 51303 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 10217428305420 in words is "ten trillion, two hundred seventeen billion, four hundred twenty-eight million, three hundred five thousand, four hundred twenty".