40393914960048 has 160 divisors (see below), whose sum is σ = 121307525821440. Its totient is φ = 11478561346560.

The previous prime is 40393914960043. The next prime is 40393914960059. The reversal of 40393914960048 is 84006941939304.

40393914960048 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 3×40393914960048³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40393914959973 and 40393914960000.

It is not an unprimeable number, because it can be changed into a prime (40393914960043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48109908 + ... + 48942323.

It is an arithmetic number, because the mean of its divisors is an integer number (758172036384).

Almost surely, 2^{40393914960048} is an apocalyptic number.

40393914960048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40393914960048 is an abundant number, since it is smaller than the sum of its proper divisors (80913610861392).

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

40393914960048 is a wasteful number, since it uses less digits than its factorization.

40393914960048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97052307 (or 97052301 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 40393914960048 in words is "forty trillion, three hundred ninety-three billion, nine hundred fourteen million, nine hundred sixty thousand, forty-eight".