40396288000 has 208 divisors, whose sum is σ = 101538781344. Its totient is φ = 16043212800.

The previous prime is 40396287991. The next prime is 40396288001. The reversal of 40396288000 is 88269304.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40396288001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131583847 + ... + 131584153.

It is an arithmetic number, because the mean of its divisors is an integer number (488167218).

Almost surely, 2^40396288000 is an apocalyptic number.

40396288000 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 40396288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50769390672).

40396288000 is an abundant number, since it is smaller than the sum of its proper divisors (61142493344).

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

40396288000 is an equidigital number, since it uses as much as digits as its factorization.

40396288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 40396288000 in words is "forty billion, three hundred ninety-six million, two hundred eighty-eight thousand".