4055414430000 has 400 divisors, whose sum is σ = 13933661376096. Its totient is φ = 1012531200000.

The previous prime is 4055414429981. The next prime is 4055414430007. The reversal of 4055414430000 is 344145504.

It is a tau number, because it is divible by the number of its divisors (400).

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 4055414430000.

It is not an unprimeable number, because it can be changed into a prime (4055414430007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98409400 + ... + 98450600.

Almost surely, 2^{4055414430000} is an apocalyptic number.

4055414430000 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 4055414430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966830688048).

4055414430000 is an abundant number, since it is smaller than the sum of its proper divisors (9878246946096).

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

4055414430000 is a wasteful number, since it uses less digits than its factorization.

4055414430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41442 (or 41421 counting only the distinct ones).

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

Adding to 4055414430000 its reverse (344145504), we get a palindrome (4055758575504).

The spelling of 4055414430000 in words is "four trillion, fifty-five billion, four hundred fourteen million, four hundred thirty thousand".