40532584512 has 448 divisors, whose sum is σ = 130760663040. Its totient is φ = 10838016000.

The previous prime is 40532584501. The next prime is 40532584517. The reversal of 40532584512 is 21548523504.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (40532584517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268427637 + ... + 268427787.

It is an arithmetic number, because the mean of its divisors is an integer number (291876480).

Almost surely, 2^40532584512 is an apocalyptic number.

40532584512 is a gapful number since it is divisible by the number (42) 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 40532584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65380331520).

40532584512 is an abundant number, since it is smaller than the sum of its proper divisors (90228078528).

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

40532584512 is a wasteful number, since it uses less digits than its factorization.

40532584512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 40532584512 in words is "forty billion, five hundred thirty-two million, five hundred eighty-four thousand, five hundred twelve".