4101030400 has 120 divisors (see below), whose sum is σ = 10398312144. Its totient is φ = 1602048000.

The previous prime is 4101030391. The next prime is 4101030419. The reversal of 4101030400 is 40301014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546675 + ... + 554125.

Almost surely, 2^4101030400 is an apocalyptic number.

4101030400 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 4101030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199156072).

4101030400 is an abundant number, since it is smaller than the sum of its proper divisors (6297281744).

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

4101030400 is an equidigital number, since it uses as much as digits as its factorization.

4101030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4101030400 is about 64039.2879410757. The cubic root of 4101030400 is about 1600.6547320422.

Adding to 4101030400 its reverse (40301014), we get a palindrome (4141331414).

The spelling of 4101030400 in words is "four billion, one hundred one million, thirty thousand, four hundred".