40141324448064 has 84 divisors (see below), whose sum is σ = 131494695774624. Its totient is φ = 11468949841152.

The previous prime is 40141324448059. The next prime is 40141324448087. The reversal of 40141324448064 is 46084442314104.

40141324448064 is a `hidden beast` number, since 4 + 0 + 1 + 41 + 32 + 44 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×40141324448064² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4977838782 + ... + 4977846845.

It is an arithmetic number, because the mean of its divisors is an integer number (1565413044936).

Almost surely, 2^{40141324448064} is an apocalyptic number.

It is an amenable number.

40141324448064 is an abundant number, since it is smaller than the sum of its proper divisors (91353371326560).

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

40141324448064 is a wasteful number, since it uses less digits than its factorization.

40141324448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955685652 (or 9955685639 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 40141324448064 in words is "forty trillion, one hundred forty-one billion, three hundred twenty-four million, four hundred forty-eight thousand, sixty-four".