14829085040 has 640 divisors, whose sum is σ = 49753958400. Its totient is φ = 3963617280.

The previous prime is 14829085027. The next prime is 14829085093. The reversal of 14829085040 is 4058092841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57700592 + ... + 57700848.

It is an arithmetic number, because the mean of its divisors is an integer number (77740560).

Almost surely, 2^14829085040 is an apocalyptic number.

14829085040 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 14829085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24876979200).

14829085040 is an abundant number, since it is smaller than the sum of its proper divisors (34924873360).

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

14829085040 is a wasteful number, since it uses less digits than its factorization.

14829085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 14829085040 in words is "fourteen billion, eight hundred twenty-nine million, eighty-five thousand, forty".