4100133400 has 72 divisors (see below), whose sum is σ = 10478274660. Its totient is φ = 1490948800.

The previous prime is 4100133391. The next prime is 4100133409. The reversal of 4100133400 is 43310014.

It is an interprime number because it is at equal distance from previous prime (4100133391) and next prime (4100133409).

It is a super-2 number, since 2×4100133400² = 33622187795591120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100133409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60514 + ... + 108913.

Almost surely, 2^4100133400 is an apocalyptic number.

4100133400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100133400 is an abundant number, since it is smaller than the sum of its proper divisors (6378141260).

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

4100133400 is a wasteful number, since it uses less digits than its factorization.

4100133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169465 (or 169445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4100133400 is about 64032.2840448473. The cubic root of 4100133400 is about 1600.5380221873.

Adding to 4100133400 its reverse (43310014), we get a palindrome (4143443414).

The spelling of 4100133400 in words is "four billion, one hundred million, one hundred thirty-three thousand, four hundred".