4055882304240 has 2560 divisors, whose sum is σ = 17081146736640. Its totient is φ = 886837248000.

The previous prime is 4055882304233. The next prime is 4055882304241. The reversal of 4055882304240 is 424032885504.

4055882304240 is a `hidden beast` number, since 4 + 0 + 5 + 588 + 23 + 0 + 4 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055882304241) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 66489873810 + ... + 66489873870.

It is an arithmetic number, because the mean of its divisors is an integer number (6672322944).

Almost surely, 2^{4055882304240} is an apocalyptic number.

4055882304240 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 4055882304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540573368320).

4055882304240 is an abundant number, since it is smaller than the sum of its proper divisors (13025264432400).

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

4055882304240 is a wasteful number, since it uses less digits than its factorization.

4055882304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 4055882304240 in words is "four trillion, fifty-five billion, eight hundred eighty-two million, three hundred four thousand, two hundred forty".