4073271840 has 192 divisors, whose sum is σ = 15552673920. Its totient is φ = 987448320.

The previous prime is 4073271833. The next prime is 4073271841. The reversal of 4073271840 is 481723704.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4073271795 and 4073271804.

It is not an unprimeable number, because it can be changed into a prime (4073271841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4662 + ... + 90378.

It is an arithmetic number, because the mean of its divisors is an integer number (81003510).

Almost surely, 2^4073271840 is an apocalyptic number.

4073271840 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 4073271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776336960).

4073271840 is an abundant number, since it is smaller than the sum of its proper divisors (11479402080).

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

4073271840 is a wasteful number, since it uses less digits than its factorization.

4073271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85752 (or 85738 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4073271840 is about 63822.1892448073. The cubic root of 4073271840 is about 1597.0351134652.

The spelling of 4073271840 in words is "four billion, seventy-three million, two hundred seventy-one thousand, eight hundred forty".