40948909272040 has 576 divisors, whose sum is σ = 123546310387200. Its totient is φ = 12077067340800.

The previous prime is 40948909272017. The next prime is 40948909272077. The reversal of 40948909272040 is 4027290984904.

40948909272040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7713108906 + ... + 7713114214.

It is an arithmetic number, because the mean of its divisors is an integer number (214490122200).

Almost surely, 2^{40948909272040} is an apocalyptic number.

40948909272040 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 40948909272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61773155193600).

40948909272040 is an abundant number, since it is smaller than the sum of its proper divisors (82597401115160).

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

40948909272040 is a wasteful number, since it uses less digits than its factorization.

40948909272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 40948909272040 in words is "forty trillion, nine hundred forty-eight billion, nine hundred nine million, two hundred seventy-two thousand, forty".