4124111120400 has 120 divisors (see below), whose sum is σ = 13211765419680. Its totient is φ = 1099691141120.

The previous prime is 4124111120359. The next prime is 4124111120417. The reversal of 4124111120400 is 40211114214.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19730839 + ... + 19938761.

It is an arithmetic number, because the mean of its divisors is an integer number (110098045164).

Almost surely, 2^{4124111120400} is an apocalyptic number.

4124111120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4124111120400 is an abundant number, since it is smaller than the sum of its proper divisors (9087654299280).

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

4124111120400 is a wasteful number, since it uses less digits than its factorization.

4124111120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224473 (or 224462 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 4124111120400 its reverse (40211114214), we get a palindrome (4164322234614).

The spelling of 4124111120400 in words is "four trillion, one hundred twenty-four billion, one hundred eleven million, one hundred twenty thousand, four hundred".