4033139040 has 864 divisors, whose sum is σ = 17410891680. Its totient is φ = 877879296.

The previous prime is 4033139017. The next prime is 4033139053. The reversal of 4033139040 is 409313304.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 4033138995 and 4033139013.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 55248444 + ... + 55248516.

It is an arithmetic number, because the mean of its divisors is an integer number (20151495).

Almost surely, 2^4033139040 is an apocalyptic number.

4033139040 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 4033139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705445840).

4033139040 is an abundant number, since it is smaller than the sum of its proper divisors (13377752640).

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

4033139040 is a wasteful number, since it uses less digits than its factorization.

4033139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4033139040 is about 63506.9999291417. Note that the first 4 decimals coincide. The cubic root of 4033139040 is about 1591.7727468688.

The spelling of 4033139040 in words is "four billion, thirty-three million, one hundred thirty-nine thousand, forty".