40457013582546 has 192 divisors, whose sum is σ = 96980493722112. Its totient is φ = 12087180000000.

The previous prime is 40457013582539. The next prime is 40457013582577. The reversal of 40457013582546 is 64528531075404.

40457013582546 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 7 + 0 + 1 + 3 + 582 + 54 + 6 = 666.

40457013582546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40457013582492 and 40457013582501.

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 95 ways as a sum of consecutive naturals, for example, 9630327246 + ... + 9630331446.

It is an arithmetic number, because the mean of its divisors is an integer number (505106738136).

Almost surely, 2^{40457013582546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40457013582546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48490246861056).

40457013582546 is an abundant number, since it is smaller than the sum of its proper divisors (56523480139566).

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

40457013582546 is a wasteful number, since it uses less digits than its factorization.

40457013582546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 40457013582546 in words is "forty trillion, four hundred fifty-seven billion, thirteen million, five hundred eighty-two thousand, five hundred forty-six".