14220565151040 has 84 divisors (see below), whose sum is σ = 48912818894004. Its totient is φ = 3792150706176.

The previous prime is 14220565151017. The next prime is 14220565151077. The reversal of 14220565151040 is 4015156502241.

14220565151040 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 56 + 51 + 510 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10413477368064 + 3807087782976 = 3226992^2 + 1951176^2 .

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 = 14220565150986 and 14220565151004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2468845237 + ... + 2468850996.

Almost surely, 2^{14220565151040} is an apocalyptic number.

14220565151040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14220565151040 is an abundant number, since it is smaller than the sum of its proper divisors (34692253742964).

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

14220565151040 is a wasteful number, since it uses less digits than its factorization.

14220565151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937696256 (or 4937696243 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 14220565151040 in words is "fourteen trillion, two hundred twenty billion, five hundred sixty-five million, one hundred fifty-one thousand, forty".