40539946464 has 144 divisors (see below), whose sum is σ = 121039132032. Its totient is φ = 12846138624.

The previous prime is 40539946457. The next prime is 40539946567. The reversal of 40539946464 is 46464993504.

40539946464 is a `hidden beast` number, since 4 + 0 + 53 + 99 + 46 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40539946464² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40539946464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060939 + ... + 1098485.

It is an arithmetic number, because the mean of its divisors is an integer number (840549528).

Almost surely, 2^40539946464 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 40539946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60519566016).

40539946464 is an abundant number, since it is smaller than the sum of its proper divisors (80499185568).

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

40539946464 is a wasteful number, since it uses less digits than its factorization.

40539946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37749 (or 37738 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 40539946464 in words is "forty billion, five hundred thirty-nine million, nine hundred forty-six thousand, four hundred sixty-four".