40428029952 has 108 divisors (see below), whose sum is σ = 116842467105. Its totient is φ = 13466910720.

The previous prime is 40428029927. The next prime is 40428029989. The reversal of 40428029952 is 25992082404.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 40217895936 + 210134016 = 200544^2 + 14496^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=142176.

It is a junction number, because it is equal to n+sod(n) for n = 40428029898 and 40428029907.

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 8 ways as a sum of consecutive naturals, for example, 27297052 + ... + 27298532.

Almost surely, 2^40428029952 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 40428029952

40428029952 is an abundant number, since it is smaller than the sum of its proper divisors (76414437153).

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

40428029952 is an frugal number, since it uses more digits than its factorization.

40428029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40428029952 in words is "forty billion, four hundred twenty-eight million, twenty-nine thousand, nine hundred fifty-two".