40505627584 has 56 divisors (see below), whose sum is σ = 85254998400. Its totient is φ = 19040336640.

The previous prime is 40505627573. The next prime is 40505627597. The reversal of 40505627584 is 48572650504.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32157 + ... + 286435.

Almost surely, 2^40505627584 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 40505627584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42627499200).

40505627584 is an abundant number, since it is smaller than the sum of its proper divisors (44749370816).

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

40505627584 is a wasteful number, since it uses less digits than its factorization.

40505627584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254441 (or 254431 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The spelling of 40505627584 in words is "forty billion, five hundred five million, six hundred twenty-seven thousand, five hundred eighty-four".