14080264007040 has 2304 divisors, whose sum is σ = 63878278464000. Its totient is φ = 2900943175680.

The previous prime is 14080264006993. The next prime is 14080264007123. The reversal of 14080264007040 is 4070046208041.

14080264007040 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 0 + 2 + 640 + 0 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×14080264007040² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14080264006986 and 14080264007004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18309835776 + ... + 18309836544.

It is an arithmetic number, because the mean of its divisors is an integer number (27724947250).

Almost surely, 2^{14080264007040} is an apocalyptic number.

14080264007040 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 14080264007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31939139232000).

14080264007040 is an abundant number, since it is smaller than the sum of its proper divisors (49798014456960).

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

14080264007040 is a wasteful number, since it uses less digits than its factorization.

14080264007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 14080264007040 in words is "fourteen trillion, eighty billion, two hundred sixty-four million, seven thousand, forty".