14355429042240 has 4704 divisors, whose sum is σ = 66994408454400. Its totient is φ = 2897001676800.

The previous prime is 14355429042209. The next prime is 14355429042263. The reversal of 14355429042240 is 4224092455341.

14355429042240 is a `hidden beast` number, since 1 + 4 + 3 + 554 + 2 + 90 + 4 + 2 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 202189141405 + ... + 202189141475.

It is an arithmetic number, because the mean of its divisors is an integer number (14242008600).

Almost surely, 2^{14355429042240} is an apocalyptic number.

14355429042240 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 14355429042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33497204227200).

14355429042240 is an abundant number, since it is smaller than the sum of its proper divisors (52638979412160).

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

14355429042240 is a wasteful number, since it uses less digits than its factorization.

14355429042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 14355429042240 in words is "fourteen trillion, three hundred fifty-five billion, four hundred twenty-nine million, forty-two thousand, two hundred forty".