4055533878400 has 192 divisors, whose sum is σ = 10070066490120. Its totient is φ = 1613865943040.

The previous prime is 4055533878391. The next prime is 4055533878427. The reversal of 4055533878400 is 48783355504.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 78996544 + 4055454881856 = 8888^2 + 2013816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1694747604 + ... + 1694749996.

Almost surely, 2^{4055533878400} is an apocalyptic number.

4055533878400 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 4055533878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035033245060).

4055533878400 is an abundant number, since it is smaller than the sum of its proper divisors (6014532611720).

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

4055533878400 is a wasteful number, since it uses less digits than its factorization.

4055533878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 4055533878400 in words is "four trillion, fifty-five billion, five hundred thirty-three million, eight hundred seventy-eight thousand, four hundred".