10005925440 has 336 divisors, whose sum is σ = 37122518592. Its totient is φ = 2276757504.

The previous prime is 10005925427. The next prime is 10005925453. The reversal of 10005925440 is 4452950001.

It is an interprime number because it is at equal distance from previous prime (10005925427) and next prime (10005925453).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10005925398 and 10005925407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16322574 + ... + 16323186.

Almost surely, 2^10005925440 is an apocalyptic number.

10005925440 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 10005925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561259296).

10005925440 is an abundant number, since it is smaller than the sum of its proper divisors (27116593152).

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

10005925440 is a wasteful number, since it uses less digits than its factorization.

10005925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10005925440 in words is "ten billion, five million, nine hundred twenty-five thousand, four hundred forty".