10322420400 has 360 divisors, whose sum is σ = 38214188064. Its totient is φ = 2571264000.

The previous prime is 10322420359. The next prime is 10322420411. The reversal of 10322420400 is 402422301.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9240642 + ... + 9241758.

Almost surely, 2^10322420400 is an apocalyptic number.

10322420400 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 10322420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107094032).

10322420400 is an abundant number, since it is smaller than the sum of its proper divisors (27891767664).

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

10322420400 is a wasteful number, since it uses less digits than its factorization.

10322420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10322420400 its reverse (402422301), we get a palindrome (10724842701).

The spelling of 10322420400 in words is "ten billion, three hundred twenty-two million, four hundred twenty thousand, four hundred".