4393409887104 has 768 divisors, whose sum is σ = 14704934154240. Its totient is φ = 1137062707200.

The previous prime is 4393409887103. The next prime is 4393409887159. The reversal of 4393409887104 is 4017889043934.

It is a super-2 number, since 2×4393409887104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4393409887103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5803711494 + ... + 5803712250.

It is an arithmetic number, because the mean of its divisors is an integer number (19147049680).

Almost surely, 2^{4393409887104} 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 4393409887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352467077120).

4393409887104 is an abundant number, since it is smaller than the sum of its proper divisors (10311524267136).

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

4393409887104 is a wasteful number, since it uses less digits than its factorization.

4393409887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 4393409887104 in words is "four trillion, three hundred ninety-three billion, four hundred nine million, eight hundred eighty-seven thousand, one hundred four".