40332332040 has 512 divisors, whose sum is σ = 172022538240. Its totient is φ = 7280640000.

The previous prime is 40332332009. The next prime is 40332332063. The reversal of 40332332040 is 4023323304.

It is a super-3 number, since 3×40332332040³ (a number of 33 digits) contains 333 as substring.

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 40332332040.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2032165 + ... + 2051915.

It is an arithmetic number, because the mean of its divisors is an integer number (335981520).

Almost surely, 2^40332332040 is an apocalyptic number.

40332332040 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 40332332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86011269120).

40332332040 is an abundant number, since it is smaller than the sum of its proper divisors (131690206200).

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

40332332040 is a wasteful number, since it uses less digits than its factorization.

40332332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19809 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 40332332040 its reverse (4023323304), we get a palindrome (44355655344).

The spelling of 40332332040 in words is "forty billion, three hundred thirty-two million, three hundred thirty-two thousand, forty".