10328149440 has 504 divisors, whose sum is σ = 41670579600. Its totient is φ = 2341011456.

The previous prime is 10328149423. The next prime is 10328149453. The reversal of 10328149440 is 4494182301.

It is a happy number.

10328149440 is a `hidden beast` number, since 103 + 28 + 1 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10328149395 and 10328149404.

It is a congruent number.

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, 23002336 + ... + 23002784.

Almost surely, 2^10328149440 is an apocalyptic number.

10328149440 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 10328149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835289800).

10328149440 is an abundant number, since it is smaller than the sum of its proper divisors (31342430160).

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

10328149440 is a wasteful number, since it uses less digits than its factorization.

10328149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10328149440 in words is "ten billion, three hundred twenty-eight million, one hundred forty-nine thousand, four hundred forty".