40911428760048 has 3780 divisors, whose sum is σ = 170333660291760. Its totient is φ = 9458940395520.

The previous prime is 40911428760019. The next prime is 40911428760053. The reversal of 40911428760048 is 84006782411904.

40911428760048 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 1 + 4 + 28 + 7 + 600 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40911428759976 and 40911428760003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 459678974788 + ... + 459678974876.

It is an arithmetic number, because the mean of its divisors is an integer number (45061814892).

Almost surely, 2^{40911428760048} is an apocalyptic number.

40911428760048 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 40911428760048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85166830145880).

40911428760048 is an abundant number, since it is smaller than the sum of its proper divisors (129422231531712).

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

40911428760048 is a wasteful number, since it uses less digits than its factorization.

40911428760048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 40911428760048 in words is "forty trillion, nine hundred eleven billion, four hundred twenty-eight million, seven hundred sixty thousand, forty-eight".