40835604288 has 112 divisors (see below), whose sum is σ = 115364215296. Its totient is φ = 12717196800.

The previous prime is 40835604287. The next prime is 40835604389. The reversal of 40835604288 is 88240653804.

It is a super-2 number, since 2×40835604288² (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 (40835604283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82363 + ... + 297413.

Almost surely, 2^40835604288 is an apocalyptic number.

40835604288 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 40835604288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57682107648).

40835604288 is an abundant number, since it is smaller than the sum of its proper divisors (74528611008).

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

40835604288 is a wasteful number, since it uses less digits than its factorization.

40835604288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215132 (or 215122 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 40835604288 in words is "forty billion, eight hundred thirty-five million, six hundred four thousand, two hundred eighty-eight".