40505645124 has 144 divisors (see below), whose sum is σ = 121560880896. Its totient is φ = 11131545600.

The previous prime is 40505645111. The next prime is 40505645129. The reversal of 40505645124 is 42154650504.

40505645124 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 5 + 645 + 1 + 2 + 4 = 666.

It is a super-2 number, since 2×40505645124² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40505645129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705964 + ... + 761180.

It is an arithmetic number, because the mean of its divisors is an integer number (844172784).

Almost surely, 2^40505645124 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 40505645124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60780440448).

40505645124 is an abundant number, since it is smaller than the sum of its proper divisors (81055235772).

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

40505645124 is a wasteful number, since it uses less digits than its factorization.

40505645124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55346 (or 55341 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40505645124 in words is "forty billion, five hundred five million, six hundred forty-five thousand, one hundred twenty-four".