4029381072 has 320 divisors, whose sum is σ = 13113446400. Its totient is φ = 1176975360.

The previous prime is 4029381049. The next prime is 4029381107. The reversal of 4029381072 is 2701839204.

4029381072 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 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, 9348697 + ... + 9349127.

It is an arithmetic number, because the mean of its divisors is an integer number (40979520).

Almost surely, 2^4029381072 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 4029381072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556723200).

4029381072 is an abundant number, since it is smaller than the sum of its proper divisors (9084065328).

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

4029381072 is a wasteful number, since it uses less digits than its factorization.

4029381072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4029381072 is about 63477.4059961495. The cubic root of 4029381072 is about 1591.2782032184.

The spelling of 4029381072 in words is "four billion, twenty-nine million, three hundred eighty-one thousand, seventy-two".