40443506688 has 208 divisors, whose sum is σ = 119892125696. Its totient is φ = 12041256960.

The previous prime is 40443506687. The next prime is 40443506689. The reversal of 40443506688 is 88660534404.

It is an interprime number because it is at equal distance from previous prime (40443506687) and next prime (40443506689).

It is a tau number, because it is divible by the number of its divisors (208).

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 (40443506687) 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, 4947981 + ... + 4956147.

Almost surely, 2^40443506688 is an apocalyptic number.

40443506688 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 40443506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59946062848).

40443506688 is an abundant number, since it is smaller than the sum of its proper divisors (79448619008).

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

40443506688 is a wasteful number, since it uses less digits than its factorization.

40443506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 40443506688 in words is "forty billion, four hundred forty-three million, five hundred six thousand, six hundred eighty-eight".