40428340624 has 135 divisors (see below), whose sum is σ = 93848729067. Its totient is φ = 16822153152.

The previous prime is 40428340571. The next prime is 40428340627. The reversal of 40428340624 is 42604382404.

The square root of 40428340624 is 201068.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×40428340624² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40428340627) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 242085789 + ... + 242085955.

Almost surely, 2^40428340624 is an apocalyptic number.

40428340624 is the 201068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40428340624

40428340624 is an abundant number, since it is smaller than the sum of its proper divisors (53420388443).

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

40428340624 is an equidigital number, since it uses as much as digits as its factorization.

40428340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 40428340624 in words is "forty billion, four hundred twenty-eight million, three hundred forty thousand, six hundred twenty-four".