40403128816 has 80 divisors (see below), whose sum is σ = 85144550400. Its totient is φ = 18502387200.

The previous prime is 40403128811. The next prime is 40403128837. The reversal of 40403128816 is 61882130404.

It is a super-3 number, since 3×40403128816³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40403128811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14803740 + ... + 14806468.

It is an arithmetic number, because the mean of its divisors is an integer number (1064306880).

Almost surely, 2^40403128816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40403128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42572275200).

40403128816 is an abundant number, since it is smaller than the sum of its proper divisors (44741421584).

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

40403128816 is a wasteful number, since it uses less digits than its factorization.

40403128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 40403128816 in words is "forty billion, four hundred three million, one hundred twenty-eight thousand, eight hundred sixteen".