4201778880 has 224 divisors, whose sum is σ = 15963595200. Its totient is φ = 1034256384.

The previous prime is 4201778879. The next prime is 4201778887. The reversal of 4201778880 is 888771024.

4201778880 is a `hidden beast` number, since 420 + 1 + 77 + 88 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4201778887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93616 + ... + 131024.

It is an arithmetic number, because the mean of its divisors is an integer number (71266050).

Almost surely, 2^4201778880 is an apocalyptic number.

4201778880 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 4201778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981797600).

4201778880 is an abundant number, since it is smaller than the sum of its proper divisors (11761816320).

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

4201778880 is a wasteful number, since it uses less digits than its factorization.

4201778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37448 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 4201778880 is about 64821.1298883319. The cubic root of 4201778880 is about 1613.6563992660.

The spelling of 4201778880 in words is "four billion, two hundred one million, seven hundred seventy-eight thousand, eight hundred eighty".