40528853120 has 128 divisors (see below), whose sum is σ = 110835648000. Its totient is φ = 13882429440.

The previous prime is 40528853119. The next prime is 40528853147. The reversal of 40528853120 is 2135882504.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 5511206 + ... + 5518554.

It is an arithmetic number, because the mean of its divisors is an integer number (865903500).

Almost surely, 2^40528853120 is an apocalyptic number.

40528853120 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 40528853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55417824000).

40528853120 is an abundant number, since it is smaller than the sum of its proper divisors (70306794880).

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

40528853120 is a wasteful number, since it uses less digits than its factorization.

40528853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 40528853120 in words is "forty billion, five hundred twenty-eight million, eight hundred fifty-three thousand, one hundred twenty".