14528471040 has 560 divisors, whose sum is σ = 54236904480. Its totient is φ = 3715891200.

The previous prime is 14528471039. The next prime is 14528471059. The reversal of 14528471040 is 4017482541.

It is a happy number.

14528471040 is a `hidden beast` number, since 145 + 2 + 8 + 471 + 0 + 40 = 666.

It is a super-2 number, since 2×14528471040² (a number of 21 digits) contains 22 as substring.

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 = 14528470986 and 14528471004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96214965 + ... + 96215115.

Almost surely, 2^14528471040 is an apocalyptic number.

14528471040 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 14528471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118452240).

14528471040 is an abundant number, since it is smaller than the sum of its proper divisors (39708433440).

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

14528471040 is an equidigital number, since it uses as much as digits as its factorization.

14528471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 14528471040 in words is "fourteen billion, five hundred twenty-eight million, four hundred seventy-one thousand, forty".