10321032420 has 384 divisors, whose sum is σ = 34655846400. Its totient is φ = 2544182784.

The previous prime is 10321032419. The next prime is 10321032437. The reversal of 10321032420 is 2423012301.

10321032420 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 32 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10321032393 and 10321032402.

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, 65738982 + ... + 65739138.

It is an arithmetic number, because the mean of its divisors is an integer number (90249600).

Almost surely, 2^10321032420 is an apocalyptic number.

10321032420 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 10321032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17327923200).

10321032420 is an abundant number, since it is smaller than the sum of its proper divisors (24334813980).

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

10321032420 is a wasteful number, since it uses less digits than its factorization.

10321032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10321032420 its reverse (2423012301), we get a palindrome (12744044721).

The spelling of 10321032420 in words is "ten billion, three hundred twenty-one million, thirty-two thousand, four hundred twenty".