4045400000 has 168 divisors, whose sum is σ = 10179192240. Its totient is φ = 1594880000.

The previous prime is 4045399999. The next prime is 4045400033. The reversal of 4045400000 is 45404.

It is a super-2 number, since 2×4045400000² = 32730522320000000000, which contains 22 as substring.

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, 22599911 + ... + 22600089.

It is an arithmetic number, because the mean of its divisors is an integer number (60590430).

Almost surely, 2^4045400000 is an apocalyptic number.

4045400000 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 4045400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089596120).

4045400000 is an abundant number, since it is smaller than the sum of its proper divisors (6133792240).

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

4045400000 is an equidigital number, since it uses as much as digits as its factorization.

4045400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4045400000 is about 63603.4590254335. The cubic root of 4045400000 is about 1593.3841400363.

Adding to 4045400000 its reverse (45404), we get a palindrome (4045445404).

The spelling of 4045400000 in words is "four billion, forty-five million, four hundred thousand".