4435412520000 has 560 divisors, whose sum is σ = 18283061947392. Its totient is φ = 921642240000.

The previous prime is 4435412519999. The next prime is 4435412520013. The reversal of 4435412520000 is 252145344.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4435412520000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8999989 + ... + 9480011.

Almost surely, 2^{4435412520000} is an apocalyptic number.

4435412520000 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 4435412520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141530973696).

4435412520000 is an abundant number, since it is smaller than the sum of its proper divisors (13847649427392).

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

4435412520000 is a wasteful number, since it uses less digits than its factorization.

4435412520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480076 (or 480051 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 4435412520000 its reverse (252145344), we get a palindrome (4435664665344).

The spelling of 4435412520000 in words is "four trillion, four hundred thirty-five billion, four hundred twelve million, five hundred twenty thousand".