4050140400 has 480 divisors, whose sum is σ = 15056179200. Its totient is φ = 1033344000.

The previous prime is 4050140383. The next prime is 4050140411. The reversal of 4050140400 is 40410504.

4050140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40100350 + ... + 40100450.

It is an arithmetic number, because the mean of its divisors is an integer number (31367040).

Almost surely, 2^4050140400 is an apocalyptic number.

4050140400 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 4050140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528089600).

4050140400 is an abundant number, since it is smaller than the sum of its proper divisors (11006038800).

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

4050140400 is a wasteful number, since it uses less digits than its factorization.

4050140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4050140400 is about 63640.7133838080. The cubic root of 4050140400 is about 1594.0062729763.

Adding to 4050140400 its reverse (40410504), we get a palindrome (4090550904).

The spelling of 4050140400 in words is "four billion, fifty million, one hundred forty thousand, four hundred".