4034540400 has 480 divisors, whose sum is σ = 14972041728. Its totient is φ = 919142400.

The previous prime is 4034540387. The next prime is 4034540417. The reversal of 4034540400 is 40454304.

4034540400 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 (24).

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, 29449132 + ... + 29449268.

Almost surely, 2^4034540400 is an apocalyptic number.

4034540400 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 4034540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486020864).

4034540400 is an abundant number, since it is smaller than the sum of its proper divisors (10937501328).

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

4034540400 is a wasteful number, since it uses less digits than its factorization.

4034540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4034540400 is about 63518.0320853850. The cubic root of 4034540400 is about 1591.9570853646.

Adding to 4034540400 its reverse (40454304), we get a palindrome (4074994704).

The spelling of 4034540400 in words is "four billion, thirty-four million, five hundred forty thousand, four hundred".