40020376032 has 648 divisors, whose sum is σ = 147969051048. Its totient is φ = 10169349120.

The previous prime is 40020376009. The next prime is 40020376037. The reversal of 40020376032 is 23067302004.

40020376032 is a `hidden beast` number, since 4 + 0 + 0 + 20 + 37 + 603 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40020375987 and 40020376005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40020376037) 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 107 ways as a sum of consecutive naturals, for example, 176301103 + ... + 176301329.

It is an arithmetic number, because the mean of its divisors is an integer number (228347301).

Almost surely, 2^40020376032 is an apocalyptic number.

40020376032 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 40020376032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73984525524).

40020376032 is an abundant number, since it is smaller than the sum of its proper divisors (107948675016).

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

40020376032 is a wasteful number, since it uses less digits than its factorization.

40020376032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 40020376032 its reverse (23067302004), we get a palindrome (63087678036).

The spelling of 40020376032 in words is "forty billion, twenty million, three hundred seventy-six thousand, thirty-two".