4455534300400 has 120 divisors (see below), whose sum is σ = 10835636336000. Its totient is φ = 1760496249600.

The previous prime is 4455534300353. The next prime is 4455534300407. The reversal of 4455534300400 is 40034355544.

It is a super-3 number, since 3×4455534300400³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4455534300400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4455534300407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10863055 + ... + 11265745.

Almost surely, 2^{4455534300400} is an apocalyptic number.

4455534300400 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 4455534300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417818168000).

4455534300400 is an abundant number, since it is smaller than the sum of its proper divisors (6380102035600).

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

4455534300400 is a wasteful number, since it uses less digits than its factorization.

4455534300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403047 (or 403036 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 4455534300400 its reverse (40034355544), we get a palindrome (4495568655944).

The spelling of 4455534300400 in words is "four trillion, four hundred fifty-five billion, five hundred thirty-four million, three hundred thousand, four hundred".