14471761920 has 1248 divisors, whose sum is σ = 64542458880. Its totient is φ = 2724986880.

The previous prime is 14471761903. The next prime is 14471761951. The reversal of 14471761920 is 2916717441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629207029 + ... + 629207051.

Almost surely, 2^14471761920 is an apocalyptic number.

14471761920 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 14471761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32271229440).

14471761920 is an abundant number, since it is smaller than the sum of its proper divisors (50070696960).

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

14471761920 is a wasteful number, since it uses less digits than its factorization.

14471761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 14471761920 in words is "fourteen billion, four hundred seventy-one million, seven hundred sixty-one thousand, nine hundred twenty".