4009533405696 has 1920 divisors, whose sum is σ = 15750166924800. Its totient is φ = 992612745216.

The previous prime is 4009533405653. The next prime is 4009533405701. The reversal of 4009533405696 is 6965043359004.

4009533405696 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 5 + 33 + 40 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 36784710090 + ... + 36784710198.

It is an arithmetic number, because the mean of its divisors is an integer number (8203211940).

Almost surely, 2^{4009533405696} 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 4009533405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875083462400).

4009533405696 is an abundant number, since it is smaller than the sum of its proper divisors (11740633519104).

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

4009533405696 is an equidigital number, since it uses as much as digits as its factorization.

4009533405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 4009533405696 in words is "four trillion, nine billion, five hundred thirty-three million, four hundred five thousand, six hundred ninety-six".