40438037328 has 160 divisors (see below), whose sum is σ = 117568475136. Its totient is φ = 11883615744.

The previous prime is 40438037303. The next prime is 40438037329. The reversal of 40438037328 is 82373083404.

40438037328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40438037328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40438037329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11867401 + ... + 11870807.

Almost surely, 2^40438037328 is an apocalyptic number.

40438037328 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 40438037328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58784237568).

40438037328 is an abundant number, since it is smaller than the sum of its proper divisors (77130437808).

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

40438037328 is a wasteful number, since it uses less digits than its factorization.

40438037328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 40438037328 in words is "forty billion, four hundred thirty-eight million, thirty-seven thousand, three hundred twenty-eight".