14040013145004 has 192 divisors, whose sum is σ = 45387840798720. Its totient is φ = 3646276119360.

The previous prime is 14040013145003. The next prime is 14040013145017. The reversal of 14040013145004 is 40054131004041.

14040013145004 is a `hidden beast` number, since 1 + 40 + 40 + 0 + 131 + 450 + 0 + 4 = 666.

It is a super-2 number, since 2×14040013145004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14040013145003) 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, 65314669 + ... + 65529275.

It is an arithmetic number, because the mean of its divisors is an integer number (236395004160).

Almost surely, 2^{14040013145004} is an apocalyptic number.

14040013145004 is a gapful number since it is divisible by the number (14) 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 14040013145004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693920399360).

14040013145004 is an abundant number, since it is smaller than the sum of its proper divisors (31347827653716).

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

14040013145004 is a wasteful number, since it uses less digits than its factorization.

14040013145004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222505 (or 222497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14040013145004 its reverse (40054131004041), we get a palindrome (54094144149045).

The spelling of 14040013145004 in words is "fourteen trillion, forty billion, thirteen million, one hundred forty-five thousand, four".