4103200110400 has 84 divisors (see below), whose sum is σ = 10535412377952. Its totient is φ = 1569920028160.

The previous prime is 4103200110343. The next prime is 4103200110419. The reversal of 4103200110400 is 40110023014.

It is a super-2 number, since 2×4103200110400² (a number of 26 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55713202 + ... + 55786801.

It is an arithmetic number, because the mean of its divisors is an integer number (125421575928).

Almost surely, 2^{4103200110400} is an apocalyptic number.

4103200110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4103200110400 is an abundant number, since it is smaller than the sum of its proper divisors (6432212267552).

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

4103200110400 is a wasteful number, since it uses less digits than its factorization.

4103200110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111500048 (or 111500033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4103200110400 its reverse (40110023014), we get a palindrome (4143310133414).

The spelling of 4103200110400 in words is "four trillion, one hundred three billion, two hundred million, one hundred ten thousand, four hundred".