40505372544 has 384 divisors, whose sum is σ = 137956452480. Its totient is φ = 10431590400.

The previous prime is 40505372477. The next prime is 40505372569. The reversal of 40505372544 is 44527350504.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 10516219 + ... + 10520069.

It is an arithmetic number, because the mean of its divisors is an integer number (359261595).

Almost surely, 2^40505372544 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 40505372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68978226240).

40505372544 is an abundant number, since it is smaller than the sum of its proper divisors (97451079936).

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

40505372544 is a wasteful number, since it uses less digits than its factorization.

40505372544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 39.

The spelling of 40505372544 in words is "forty billion, five hundred five million, three hundred seventy-two thousand, five hundred forty-four".