40385401056 has 1152 divisors, whose sum is σ = 166167106560. Its totient is φ = 8957952000.

The previous prime is 40385401033. The next prime is 40385401061. The reversal of 40385401056 is 65010458304.

It is a happy number.

40385401056 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 540 + 105 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40385401056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 399855406 + ... + 399855506.

It is an arithmetic number, because the mean of its divisors is an integer number (144242280).

Almost surely, 2^40385401056 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 40385401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83083553280).

40385401056 is an abundant number, since it is smaller than the sum of its proper divisors (125781705504).

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

40385401056 is a wasteful number, since it uses less digits than its factorization.

40385401056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40385401056 in words is "forty billion, three hundred eighty-five million, four hundred one thousand, fifty-six".