4033340400 has 120 divisors (see below), whose sum is σ = 13269472624. Its totient is φ = 1046476800.

The previous prime is 4033340383. The next prime is 4033340453. The reversal of 4033340400 is 40433304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021 + ... + 89820.

Almost surely, 2^4033340400 is an apocalyptic number.

4033340400 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 4033340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634736312).

4033340400 is an abundant number, since it is smaller than the sum of its proper divisors (9236132224).

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

4033340400 is a wasteful number, since it uses less digits than its factorization.

4033340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90899 (or 90888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4033340400 is about 63508.5852464059. The cubic root of 4033340400 is about 1591.7992369074.

Adding to 4033340400 its reverse (40433304), we get a palindrome (4073773704).

The spelling of 4033340400 in words is "four billion, thirty-three million, three hundred forty thousand, four hundred".