40501334040 has 128 divisors (see below), whose sum is σ = 129440505600. Its totient is φ = 10108592640.

The previous prime is 40501334023. The next prime is 40501334053. The reversal of 40501334040 is 4043310504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40501334040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 82230 + ... + 296250.

It is an arithmetic number, because the mean of its divisors is an integer number (1011253950).

Almost surely, 2^40501334040 is an apocalyptic number.

40501334040 is a gapful number since it is divisible by the number (40) 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 40501334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64720252800).

40501334040 is an abundant number, since it is smaller than the sum of its proper divisors (88939171560).

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

40501334040 is a wasteful number, since it uses less digits than its factorization.

40501334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214137 (or 214133 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 40501334040 its reverse (4043310504), we get a palindrome (44544644544).

The spelling of 40501334040 in words is "forty billion, five hundred one million, three hundred thirty-four thousand, forty".