14086151040 has 512 divisors, whose sum is σ = 51911798400. Its totient is φ = 3218079744.

The previous prime is 14086151033. The next prime is 14086151047. The reversal of 14086151040 is 4015168041.

It is an interprime number because it is at equal distance from previous prime (14086151033) and next prime (14086151047).

It is a super-2 number, since 2×14086151040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14086150989 and 14086151007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14086151047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37764294 + ... + 37764666.

Almost surely, 2^14086151040 is an apocalyptic number.

14086151040 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 14086151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25955899200).

14086151040 is an abundant number, since it is smaller than the sum of its proper divisors (37825647360).

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

14086151040 is a wasteful number, since it uses less digits than its factorization.

14086151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 14086151040 in words is "fourteen billion, eighty-six million, one hundred fifty-one thousand, forty".