40542484752 has 480 divisors, whose sum is σ = 146519193600. Its totient is φ = 10372320000.

The previous prime is 40542484739. The next prime is 40542484757. The reversal of 40542484752 is 25748424504.

It is a junction number, because it is equal to n+sod(n) for n = 40542484698 and 40542484707.

It is not an unprimeable number, because it can be changed into a prime (40542484757) by changing a digit.

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, 38574627 + ... + 38575677.

It is an arithmetic number, because the mean of its divisors is an integer number (305248320).

Almost surely, 2^40542484752 is an apocalyptic number.

40542484752 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 40542484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73259596800).

40542484752 is an abundant number, since it is smaller than the sum of its proper divisors (105976708848).

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

40542484752 is a wasteful number, since it uses less digits than its factorization.

40542484752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 40542484752 in words is "forty billion, five hundred forty-two million, four hundred eighty-four thousand, seven hundred fifty-two".