40128149760 has 144 divisors (see below), whose sum is σ = 131285629440. Its totient is φ = 10439802880.

The previous prime is 40128149723. The next prime is 40128149773. The reversal of 40128149760 is 6794182104.

It is a super-2 number, since 2×40128149760² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 30001 + ... + 284879.

It is an arithmetic number, because the mean of its divisors is an integer number (911705760).

Almost surely, 2^40128149760 is an apocalyptic number.

40128149760 is a gapful number since it is divisible by the number (40) 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 40128149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65642814720).

40128149760 is an abundant number, since it is smaller than the sum of its proper divisors (91157479680).

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

40128149760 is a wasteful number, since it uses less digits than its factorization.

40128149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254944 (or 254930 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 40128149760 in words is "forty billion, one hundred twenty-eight million, one hundred forty-nine thousand, seven hundred sixty".