4124014013400 has 192 divisors, whose sum is σ = 13352515027200. Its totient is φ = 1051878274560.

The previous prime is 4124014013239. The next prime is 4124014013411. The reversal of 4124014013400 is 43104104214.

4124014013400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264492 + ... + 2884091.

It is an arithmetic number, because the mean of its divisors is an integer number (69544349100).

Almost surely, 2^{4124014013400} is an apocalyptic number.

4124014013400 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 4124014013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676257513600).

4124014013400 is an abundant number, since it is smaller than the sum of its proper divisors (9228501013800).

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

4124014013400 is a wasteful number, since it uses less digits than its factorization.

4124014013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148698 (or 3148689 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4124014013400 its reverse (43104104214), we get a palindrome (4167118117614).

The spelling of 4124014013400 in words is "four trillion, one hundred twenty-four billion, fourteen million, thirteen thousand, four hundred".