40848727680 has 224 divisors, whose sum is σ = 146415678660. Its totient is φ = 10892869632.

The previous prime is 40848727669. The next prime is 40848727709. The reversal of 40848727680 is 8672784804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40613534784 + 235192896 = 201528^2 + 15336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 422784 + ... + 510336.

Almost surely, 2^40848727680 is an apocalyptic number.

40848727680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40848727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73207839330).

40848727680 is an abundant number, since it is smaller than the sum of its proper divisors (105566950980).

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

40848727680 is an frugal number, since it uses more digits than its factorization.

40848727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87590 (or 87563 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40848727680 in words is "forty billion, eight hundred forty-eight million, seven hundred twenty-seven thousand, six hundred eighty".