4014090124200 has 1152 divisors, whose sum is σ = 15614600601600. Its totient is φ = 951689088000.

The previous prime is 4014090124199. The next prime is 4014090124309. The reversal of 4014090124200 is 24210904104.

It is a happy number.

4014090124200 is a `hidden beast` number, since 4 + 0 + 140 + 90 + 12 + 420 + 0 = 666.

It is a super-2 number, since 2×4014090124200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 287 ways as a sum of consecutive naturals, for example, 6091183471 + ... + 6091184129.

It is an arithmetic number, because the mean of its divisors is an integer number (13554340800).

Almost surely, 2^{4014090124200} is an apocalyptic number.

4014090124200 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 4014090124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807300300800).

4014090124200 is an abundant number, since it is smaller than the sum of its proper divisors (11600510477400).

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

4014090124200 is a wasteful number, since it uses less digits than its factorization.

4014090124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 4014090124200 in words is "four trillion, fourteen billion, ninety million, one hundred twenty-four thousand, two hundred".