10314829440 has 512 divisors, whose sum is σ = 38996640000. Its totient is φ = 2569273344.

The previous prime is 10314829439. The next prime is 10314829453. The reversal of 10314829440 is 4492841301.

10314829440 = 10373² + 10374² + ... + 10467².

It is a happy number.

10314829440 is a `hidden beast` number, since 10 + 314 + 8 + 294 + 40 = 666.

10314829440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10314829395 and 10314829404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29220304 + ... + 29220656.

Almost surely, 2^10314829440 is an apocalyptic number.

10314829440 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 10314829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498320000).

10314829440 is an abundant number, since it is smaller than the sum of its proper divisors (28681810560).

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

10314829440 is a wasteful number, since it uses less digits than its factorization.

10314829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

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

The spelling of 10314829440 in words is "ten billion, three hundred fourteen million, eight hundred twenty-nine thousand, four hundred forty".