4033394400 has 288 divisors, whose sum is σ = 15066535680. Its totient is φ = 918097920.

The previous prime is 4033394399. The next prime is 4033394411. The reversal of 4033394400 is 44933304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6870907 + ... + 6871493.

It is an arithmetic number, because the mean of its divisors is an integer number (52314360).

Almost surely, 2^4033394400 is an apocalyptic number.

4033394400 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 4033394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533267840).

4033394400 is an abundant number, since it is smaller than the sum of its proper divisors (11033141280).

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

4033394400 is a wasteful number, since it uses less digits than its factorization.

4033394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 4033394400 is about 63509.0103843541. The cubic root of 4033394400 is about 1591.8063407606.

The spelling of 4033394400 in words is "four billion, thirty-three million, three hundred ninety-four thousand, four hundred".