14573975040 has 240 divisors, whose sum is σ = 50637272400. Its totient is φ = 3873816576.

The previous prime is 14573975021. The next prime is 14573975051. The reversal of 14573975040 is 4057937541.

14573975040 is a `hidden beast` number, since 1 + 4 + 57 + 3 + 97 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8731326 + ... + 8732994.

It is an arithmetic number, because the mean of its divisors is an integer number (210988635).

Almost surely, 2^14573975040 is an apocalyptic number.

14573975040 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 14573975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318636200).

14573975040 is an abundant number, since it is smaller than the sum of its proper divisors (36063297360).

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

14573975040 is a wasteful number, since it uses less digits than its factorization.

14573975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 14573975040 in words is "fourteen billion, five hundred seventy-three million, nine hundred seventy-five thousand, forty".