40500886272 has 288 divisors, whose sum is σ = 134718764544. Its totient is φ = 10493952000.

The previous prime is 40500886271. The next prime is 40500886291. The reversal of 40500886272 is 27268800504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (40500886271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41453848 + ... + 41454824.

It is an arithmetic number, because the mean of its divisors is an integer number (467773488).

Almost surely, 2^40500886272 is an apocalyptic number.

40500886272 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 40500886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359382272).

40500886272 is an abundant number, since it is smaller than the sum of its proper divisors (94217878272).

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

40500886272 is a wasteful number, since it uses less digits than its factorization.

40500886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 40500886272 in words is "forty billion, five hundred million, eight hundred eighty-six thousand, two hundred seventy-two".