4180785840 has 1120 divisors, whose sum is σ = 19516608000. Its totient is φ = 823011840.

The previous prime is 4180785839. The next prime is 4180785857. The reversal of 4180785840 is 485870814.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 220041351 + ... + 220041369.

Almost surely, 2^4180785840 is an apocalyptic number.

4180785840 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 4180785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758304000).

4180785840 is an abundant number, since it is smaller than the sum of its proper divisors (15335822160).

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

4180785840 is a wasteful number, since it uses less digits than its factorization.

4180785840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 4180785840 is about 64658.9965898018. The cubic root of 4180785840 is about 1610.9645134345.

The spelling of 4180785840 in words is "four billion, one hundred eighty million, seven hundred eighty-five thousand, eight hundred forty".