10314829404 has 144 divisors (see below), whose sum is σ = 29157404640. Its totient is φ = 3073593600.

The previous prime is 10314829381. The next prime is 10314829439. The reversal of 10314829404 is 40492841301.

It is a happy number.

10314829404 is a `hidden beast` number, since 103 + 148 + 2 + 9 + 404 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921112 + ... + 2924640.

Almost surely, 2^10314829404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314829404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578702320).

10314829404 is an abundant number, since it is smaller than the sum of its proper divisors (18842575236).

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

10314829404 is a wasteful number, since it uses less digits than its factorization.

10314829404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3606 counting only the distinct ones).

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

The spelling of 10314829404 in words is "ten billion, three hundred fourteen million, eight hundred twenty-nine thousand, four hundred four".