4103144214000 has 320 divisors, whose sum is σ = 14286569851008. Its totient is φ = 1007136768000.

The previous prime is 4103144213969. The next prime is 4103144214031. The reversal of 4103144214000 is 4124413014.

It is an interprime number because it is at equal distance from previous prime (4103144213969) and next prime (4103144214031).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27459490 + ... + 27608510.

Almost surely, 2^{4103144214000} is an apocalyptic number.

4103144214000 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 4103144214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7143284925504).

4103144214000 is an abundant number, since it is smaller than the sum of its proper divisors (10183425637008).

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

4103144214000 is a wasteful number, since it uses less digits than its factorization.

4103144214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149413 (or 149397 counting only the distinct ones).

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

Adding to 4103144214000 its reverse (4124413014), we get a palindrome (4107268627014).

The spelling of 4103144214000 in words is "four trillion, one hundred three billion, one hundred forty-four million, two hundred fourteen thousand".