40037383728 has 90 divisors (see below), whose sum is σ = 116235254044. Its totient is φ = 13341635712.

The previous prime is 40037383691. The next prime is 40037383747. The reversal of 40037383728 is 82738373004.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40037383728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40037383728³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12474988 + ... + 12478196.

Almost surely, 2^40037383728 is an apocalyptic number.

40037383728 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 40037383728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58117627022).

40037383728 is an abundant number, since it is smaller than the sum of its proper divisors (76197870316).

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

40037383728 is an frugal number, since it uses more digits than its factorization.

40037383728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 40037383728 in words is "forty billion, thirty-seven million, three hundred eighty-three thousand, seven hundred twenty-eight".