14240415672 has 144 divisors (see below), whose sum is σ = 44949504600. Its totient is φ = 4060990080.

The previous prime is 14240415599. The next prime is 14240415769. The reversal of 14240415672 is 27651404241.

14240415672 is a `hidden beast` number, since 14 + 2 + 40 + 41 + 567 + 2 = 666.

It is a super-3 number, since 3×14240415672³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2010954 + ... + 2018022.

Almost surely, 2^14240415672 is an apocalyptic number.

14240415672 is a gapful number since it is divisible by the number (12) 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 14240415672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22474752300).

14240415672 is an abundant number, since it is smaller than the sum of its proper divisors (30709088928).

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

14240415672 is a wasteful number, since it uses less digits than its factorization.

14240415672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7666 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14240415672 in words is "fourteen billion, two hundred forty million, four hundred fifteen thousand, six hundred seventy-two".