4029143040 has 768 divisors, whose sum is σ = 16511040000. Its totient is φ = 923664384.

The previous prime is 4029143039. The next prime is 4029143057. The reversal of 4029143040 is 403419204.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4029142995 and 4029143013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68290531 + ... + 68290589.

It is an arithmetic number, because the mean of its divisors is an integer number (21498750).

Almost surely, 2^4029143040 is an apocalyptic number.

4029143040 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 4029143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520000).

4029143040 is an abundant number, since it is smaller than the sum of its proper divisors (12481896960).

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

4029143040 is a wasteful number, since it uses less digits than its factorization.

4029143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4029143040 is about 63475.5310336196. The cubic root of 4029143040 is about 1591.2468681667.

The spelling of 4029143040 in words is "four billion, twenty-nine million, one hundred forty-three thousand, forty".