40530510944 has 192 divisors, whose sum is σ = 104744586240. Its totient is φ = 14968504320.

The previous prime is 40530510931. The next prime is 40530510949. The reversal of 40530510944 is 44901503504.

It is a super-2 number, since 2×40530510944² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40530510949) 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 31 ways as a sum of consecutive naturals, for example, 6400772 + ... + 6407100.

It is an arithmetic number, because the mean of its divisors is an integer number (545544720).

Almost surely, 2^40530510944 is an apocalyptic number.

40530510944 is a gapful number since it is divisible by the number (44) 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 40530510944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52372293120).

40530510944 is an abundant number, since it is smaller than the sum of its proper divisors (64214075296).

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

40530510944 is a wasteful number, since it uses less digits than its factorization.

40530510944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 40530510944 in words is "forty billion, five hundred thirty million, five hundred ten thousand, nine hundred forty-four".