4009532444320 has 96 divisors (see below), whose sum is σ = 10202163550992. Its totient is φ = 1480299405312.

The previous prime is 4009532444297. The next prime is 4009532444347. The reversal of 4009532444320 is 234442359004.

It can be written as a sum of positive squares in 8 ways, for example, as 1898079333264 + 2111453111056 = 1377708^2 + 1453084^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22736004 + ... + 22911676.

Almost surely, 2^{4009532444320} is an apocalyptic number.

4009532444320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009532444320 is an abundant number, since it is smaller than the sum of its proper divisors (6192631106672).

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

4009532444320 is a wasteful number, since it uses less digits than its factorization.

4009532444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186674 (or 186666 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 4009532444320 in words is "four trillion, nine billion, five hundred thirty-two million, four hundred forty-four thousand, three hundred twenty".