4140030400 has 336 divisors, whose sum is σ = 11970117792. Its totient is φ = 1392640000.

The previous prime is 4140030397. The next prime is 4140030469. The reversal of 4140030400 is 40300414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30219132 + ... + 30219268.

Almost surely, 2^4140030400 is an apocalyptic number.

4140030400 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 4140030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985058896).

4140030400 is an abundant number, since it is smaller than the sum of its proper divisors (7830087392).

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

4140030400 is a wasteful number, since it uses less digits than its factorization.

4140030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4140030400 is about 64343.0680026994. The cubic root of 4140030400 is about 1605.7127038589.

Adding to 4140030400 its reverse (40300414), we get a palindrome (4180330814).

The spelling of 4140030400 in words is "four billion, one hundred forty million, thirty thousand, four hundred".