40948280051940 has 288 divisors, whose sum is σ = 130343697469440. Its totient is φ = 10392050995200.

The previous prime is 40948280051933. The next prime is 40948280051941. The reversal of 40948280051940 is 4915008284904.

It is a happy number.

40948280051940 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 8 + 2 + 80 + 0 + 519 + 40 = 666.

40948280051940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40948280051941) 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 95 ways as a sum of consecutive naturals, for example, 2630108476 + ... + 2630124044.

It is an arithmetic number, because the mean of its divisors is an integer number (452582282880).

Almost surely, 2^{40948280051940} 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 40948280051940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65171848734720).

40948280051940 is an abundant number, since it is smaller than the sum of its proper divisors (89395417417500).

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

40948280051940 is a wasteful number, since it uses less digits than its factorization.

40948280051940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 40948280051940 in words is "forty trillion, nine hundred forty-eight billion, two hundred eighty million, fifty-one thousand, nine hundred forty".