14100141000 has 256 divisors, whose sum is σ = 49018245120. Its totient is φ = 3345120000.

The previous prime is 14100140993. The next prime is 14100141049. The reversal of 14100141000 is 14100141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1546455 + ... + 1555545.

It is an arithmetic number, because the mean of its divisors is an integer number (191477520).

Almost surely, 2^14100141000 is an apocalyptic number.

14100141000 is a gapful number since it is divisible by the number (10) 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 14100141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24509122560).

14100141000 is an abundant number, since it is smaller than the sum of its proper divisors (34918104120).

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

14100141000 is a wasteful number, since it uses less digits than its factorization.

14100141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9173 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14100141000 its reverse (14100141), we get a palindrome (14114241141).

14100141000 divided by its reverse (14100141) gives a cube (1000 = 10³).

The spelling of 14100141000 in words is "fourteen billion, one hundred million, one hundred forty-one thousand".