4101450400 has 36 divisors (see below), whose sum is σ = 10012667742. Its totient is φ = 1640579840.

The previous prime is 4101450389. The next prime is 4101450487. The reversal of 4101450400 is 40541014.

4101450400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1581811984 + 2519638416 = 39772^2 + 50196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2562607 + ... + 2564206.

Almost surely, 2^4101450400 is an apocalyptic number.

4101450400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101450400 is an abundant number, since it is smaller than the sum of its proper divisors (5911217342).

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

4101450400 is a wasteful number, since it uses less digits than its factorization.

4101450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126833 (or 5126820 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4101450400 is about 64042.5670940820. The cubic root of 4101450400 is about 1600.7093729473.

Adding to 4101450400 its reverse (40541014), we get a palindrome (4141991414).

The spelling of 4101450400 in words is "four billion, one hundred one million, four hundred fifty thousand, four hundred".