40525527744 has 224 divisors, whose sum is σ = 128609994240. Its totient is φ = 12439471104.

The previous prime is 40525527631. The next prime is 40525527761. The reversal of 40525527744 is 44772552504.

40525527744 is a `hidden beast` number, since 4 + 0 + 52 + 5 + 527 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40525527744.

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 31 ways as a sum of consecutive naturals, for example, 10488757 + ... + 10492619.

It is an arithmetic number, because the mean of its divisors is an integer number (574151760).

Almost surely, 2^40525527744 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 40525527744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64304997120).

40525527744 is an abundant number, since it is smaller than the sum of its proper divisors (88084466496).

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

40525527744 is a wasteful number, since it uses less digits than its factorization.

40525527744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 40525527744 in words is "forty billion, five hundred twenty-five million, five hundred twenty-seven thousand, seven hundred forty-four".