4133089440 has 144 divisors (see below), whose sum is σ = 14485548168. Its totient is φ = 1072355328.

The previous prime is 4133089421. The next prime is 4133089553. The reversal of 4133089440 is 449803314.

4133089440 is a `hidden beast` number, since 4 + 133 + 0 + 89 + 440 = 666.

4133089440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4095488016 + 37601424 = 63996^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4133089395 and 4133089404.

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, 14494 + ... + 92066.

Almost surely, 2^4133089440 is an apocalyptic number.

4133089440 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 4133089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242774084).

4133089440 is an abundant number, since it is smaller than the sum of its proper divisors (10352458728).

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

4133089440 is a wasteful number, since it uses less digits than its factorization.

4133089440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77631 (or 77620 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4133089440 is about 64289.1082532648. The cubic root of 4133089440 is about 1604.8148503924.

The spelling of 4133089440 in words is "four billion, one hundred thirty-three million, eighty-nine thousand, four hundred forty".