14514034078440 has 512 divisors, whose sum is σ = 52795072512000. Its totient is φ = 3525195727872.

The previous prime is 14514034078409. The next prime is 14514034078477. The reversal of 14514034078440 is 4487043041541.

14514034078440 is a `hidden beast` number, since 1 + 451 + 40 + 3 + 40 + 7 + 84 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2288193909 + ... + 2288200251.

It is an arithmetic number, because the mean of its divisors is an integer number (103115376000).

Almost surely, 2^{14514034078440} is an apocalyptic number.

14514034078440 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 14514034078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26397536256000).

14514034078440 is an abundant number, since it is smaller than the sum of its proper divisors (38281038433560).

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

14514034078440 is a wasteful number, since it uses less digits than its factorization.

14514034078440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 14514034078440 in words is "fourteen trillion, five hundred fourteen billion, thirty-four million, seventy-eight thousand, four hundred forty".