32040924450480 has 960 divisors, whose sum is σ = 126732974284800. Its totient is φ = 7173527961600.

The previous prime is 32040924450463. The next prime is 32040924450529. The reversal of 32040924450480 is 8405442904023.

32040924450480 is a `hidden beast` number, since 3 + 2 + 0 + 40 + 9 + 24 + 4 + 504 + 80 = 666.

It is a super-3 number, since 3×32040924450480³ (a number of 41 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2535478722 + ... + 2535491358.

It is an arithmetic number, because the mean of its divisors is an integer number (132013514880).

Almost surely, 2^{32040924450480} is an apocalyptic number.

32040924450480 is a gapful number since it is divisible by the number (30) 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 32040924450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63366487142400).

32040924450480 is an abundant number, since it is smaller than the sum of its proper divisors (94692049834320).

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

32040924450480 is a wasteful number, since it uses less digits than its factorization.

32040924450480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13170 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 32040924450480 in words is "thirty-two trillion, forty billion, nine hundred twenty-four million, four hundred fifty thousand, four hundred eighty".