40495005060048 has 1920 divisors, whose sum is σ = 160354508083200. Its totient is φ = 9476393472000.

The previous prime is 40495005060047. The next prime is 40495005060151. The reversal of 40495005060048 is 84006050059404.

40495005060048 is a `hidden beast` number, since 4 + 0 + 49 + 500 + 5 + 0 + 60 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40495005059985 and 40495005060012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40495005060047) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37049409390 + ... + 37049410482.

It is an arithmetic number, because the mean of its divisors is an integer number (83517972960).

Almost surely, 2^{40495005060048} is an apocalyptic number.

40495005060048 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 40495005060048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80177254041600).

40495005060048 is an abundant number, since it is smaller than the sum of its proper divisors (119859503023152).

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

40495005060048 is a wasteful number, since it uses less digits than its factorization.

40495005060048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40495005060048 in words is "forty trillion, four hundred ninety-five billion, five million, sixty thousand, forty-eight".