4129319040 has 1024 divisors, whose sum is σ = 18274222080. Its totient is φ = 766771200.

The previous prime is 4129319017. The next prime is 4129319041. The reversal of 4129319040 is 409139214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4129318992 and 4129319010.

It is not an unprimeable number, because it can be changed into a prime (4129319041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77911654 + ... + 77911706.

It is an arithmetic number, because the mean of its divisors is an integer number (17845920).

Almost surely, 2^4129319040 is an apocalyptic number.

4129319040 is a gapful number since it is divisible by the number (40) 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 4129319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137111040).

4129319040 is an abundant number, since it is smaller than the sum of its proper divisors (14144903040).

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

4129319040 is a wasteful number, since it uses less digits than its factorization.

4129319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4129319040 is about 64259.7777773935. Note that the first 6 decimals coincide. The cubic root of 4129319040 is about 1604.3267058802.

The spelling of 4129319040 in words is "four billion, one hundred twenty-nine million, three hundred nineteen thousand, forty".