14051000040 has 256 divisors, whose sum is σ = 53222400000. Its totient is φ = 2882580480.

The previous prime is 14051000027. The next prime is 14051000101. The reversal of 14051000040 is 4000015041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 14050999983 and 14051000019.

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, 720336 + ... + 739584.

It is an arithmetic number, because the mean of its divisors is an integer number (207900000).

Almost surely, 2^14051000040 is an apocalyptic number.

14051000040 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 14051000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200000).

14051000040 is an abundant number, since it is smaller than the sum of its proper divisors (39171399960).

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

14051000040 is a wasteful number, since it uses less digits than its factorization.

14051000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 19356 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14051000040 its reverse (4000015041), we get a palindrome (18051015081).

The spelling of 14051000040 in words is "fourteen billion, fifty-one million, forty", and thus it is an aban number.