40788321588928 has 56 divisors (see below), whose sum is σ = 82521951239232. Its totient is φ = 19995906637824.

The previous prime is 40788321588923. The next prime is 40788321588943. The reversal of 40788321588928 is 82988512388704.

It is a super-2 number, since 2×40788321588928² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40788321588923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000576 + ... + 9087232.

Almost surely, 2^{40788321588928} 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 40788321588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41260975619616).

40788321588928 is an abundant number, since it is smaller than the sum of its proper divisors (41733629650304).

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

40788321588928 is a wasteful number, since it uses less digits than its factorization.

40788321588928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088209 (or 8088199 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 73.

The spelling of 40788321588928 in words is "forty trillion, seven hundred eighty-eight billion, three hundred twenty-one million, five hundred eighty-eight thousand, nine hundred twenty-eight".