4089204397824 has 864 divisors, whose sum is σ = 14408329985280. Its totient is φ = 1017671122944.

The previous prime is 4089204397787. The next prime is 4089204397841. The reversal of 4089204397824 is 4287934029804.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2853596212 + ... + 2853597644.

Almost surely, 2^{4089204397824} 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 4089204397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204164992640).

4089204397824 is an abundant number, since it is smaller than the sum of its proper divisors (10319125587456).

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

4089204397824 is a wasteful number, since it uses less digits than its factorization.

4089204397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 4089204397824 in words is "four trillion, eighty-nine billion, two hundred four million, three hundred ninety-seven thousand, eight hundred twenty-four".