14255361120 has 384 divisors, whose sum is σ = 60293237760. Its totient is φ = 2734202880.

The previous prime is 14255361103. The next prime is 14255361149. The reversal of 14255361120 is 2116355241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465646 + ... + 495314.

It is an arithmetic number, because the mean of its divisors is an integer number (157013640).

Almost surely, 2^14255361120 is an apocalyptic number.

14255361120 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 14255361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30146618880).

14255361120 is an abundant number, since it is smaller than the sum of its proper divisors (46037876640).

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

14255361120 is a wasteful number, since it uses less digits than its factorization.

14255361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29718 (or 29710 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 14255361120 in words is "fourteen billion, two hundred fifty-five million, three hundred sixty-one thousand, one hundred twenty".