10185964440 has 128 divisors (see below), whose sum is σ = 31109184000. Its totient is φ = 2667506688.

The previous prime is 10185964423. The next prime is 10185964441. The reversal of 10185964440 is 4446958101.

It is a junction number, because it is equal to n+sod(n) for n = 10185964392 and 10185964401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10185964441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884596 + ... + 2888124.

It is an arithmetic number, because the mean of its divisors is an integer number (243040500).

Almost surely, 2^10185964440 is an apocalyptic number.

10185964440 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 10185964440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554592000).

10185964440 is an abundant number, since it is smaller than the sum of its proper divisors (20923219560).

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

10185964440 is a wasteful number, since it uses less digits than its factorization.

10185964440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10185964440 in words is "ten billion, one hundred eighty-five million, nine hundred sixty-four thousand, four hundred forty".