4055340000 has 120 divisors (see below), whose sum is σ = 13302523080. Its totient is φ = 1081408000.

The previous prime is 4055339969. The next prime is 4055340061. The reversal of 4055340000 is 435504.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26206 + ... + 93794.

It is an arithmetic number, because the mean of its divisors is an integer number (110854359).

Almost surely, 2^4055340000 is an apocalyptic number.

4055340000 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 4055340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651261540).

4055340000 is an abundant number, since it is smaller than the sum of its proper divisors (9247183080).

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

4055340000 is an equidigital number, since it uses as much as digits as its factorization.

4055340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67622 (or 67599 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4055340000 is about 63681.5514886376. The cubic root of 4055340000 is about 1594.6881135967.

Adding to 4055340000 its reverse (435504), we get a palindrome (4055775504).

The spelling of 4055340000 in words is "four billion, fifty-five million, three hundred forty thousand".