4009225839360 has 576 divisors, whose sum is σ = 15748596025344. Its totient is φ = 848343859200.

The previous prime is 4009225839337. The next prime is 4009225839361. The reversal of 4009225839360 is 639385229004.

It is a happy number.

It is a super-3 number, since 3×4009225839360³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4009225839361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27802645 + ... + 27946475.

It is an arithmetic number, because the mean of its divisors is an integer number (27341312544).

Almost surely, 2^{4009225839360} is an apocalyptic number.

4009225839360 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 4009225839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874298012672).

4009225839360 is an abundant number, since it is smaller than the sum of its proper divisors (11739370185984).

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

4009225839360 is a wasteful number, since it uses less digits than its factorization.

4009225839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143940 (or 143926 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 4009225839360 in words is "four trillion, nine billion, two hundred twenty-five million, eight hundred thirty-nine thousand, three hundred sixty".