40326553728 has 224 divisors, whose sum is σ = 121408254000. Its totient is φ = 13335528960.

The previous prime is 40326553711. The next prime is 40326553739. The reversal of 40326553728 is 82735562304.

40326553728 is a `hidden beast` number, since 4 + 0 + 3 + 26 + 553 + 72 + 8 = 666.

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, 12222223 + ... + 12225521.

Almost surely, 2^40326553728 is an apocalyptic number.

40326553728 is a gapful number since it is divisible by the number (48) 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 40326553728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60704127000).

40326553728 is an abundant number, since it is smaller than the sum of its proper divisors (81081700272).

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

40326553728 is an equidigital number, since it uses as much as digits as its factorization.

40326553728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 40326553728 in words is "forty billion, three hundred twenty-six million, five hundred fifty-three thousand, seven hundred twenty-eight".