40800959328 has 144 divisors (see below), whose sum is σ = 116936855280. Its totient is φ = 12439913472.

The previous prime is 40800959321. The next prime is 40800959333. The reversal of 40800959328 is 82395900804.

It is a super-2 number, since 2×40800959328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40800959321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984726 + ... + 1025322.

It is an arithmetic number, because the mean of its divisors is an integer number (812061495).

Almost surely, 2^40800959328 is an apocalyptic number.

40800959328 is a gapful number since it is divisible by the number (48) 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 40800959328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58468427640).

40800959328 is an abundant number, since it is smaller than the sum of its proper divisors (76135895952).

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

40800959328 is a wasteful number, since it uses less digits than its factorization.

40800959328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40677 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 40800959328 in words is "forty billion, eight hundred million, nine hundred fifty-nine thousand, three hundred twenty-eight".