4073270400 has 288 divisors, whose sum is σ = 15038630100. Its totient is φ = 1048535040.

The previous prime is 4073270381. The next prime is 4073270423. The reversal of 4073270400 is 40723704.

It can be written as a sum of positive squares in 6 ways, for example, as 1076364864 + 2996905536 = 32808^2 + 54744^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 832762 + ... + 837638.

Almost surely, 2^4073270400 is an apocalyptic number.

4073270400 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 4073270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519315050).

4073270400 is an abundant number, since it is smaller than the sum of its proper divisors (10965359700).

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

4073270400 is a wasteful number, since it uses less digits than its factorization.

4073270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4073270400 is about 63822.1779634635. The cubic root of 4073270400 is about 1597.0349252683.

The spelling of 4073270400 in words is "four billion, seventy-three million, two hundred seventy thousand, four hundred".