10321444440 has 224 divisors, whose sum is σ = 34988241600. Its totient is φ = 2739018240.

The previous prime is 10321444391. The next prime is 10321444501. The reversal of 10321444440 is 4444412301.

10321444440 is a `hidden beast` number, since 1 + 0 + 3 + 214 + 4 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6968500 + ... + 6969980.

Almost surely, 2^10321444440 is an apocalyptic number.

10321444440 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 10321444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494120800).

10321444440 is an abundant number, since it is smaller than the sum of its proper divisors (24666797160).

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

10321444440 is a wasteful number, since it uses less digits than its factorization.

10321444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10321444440 its reverse (4444412301), we get a palindrome (14765856741).

The spelling of 10321444440 in words is "ten billion, three hundred twenty-one million, four hundred forty-four thousand, four hundred forty".