4146785280 has 616 divisors, whose sum is σ = 16431252624. Its totient is φ = 995328000.

The previous prime is 4146785273. The next prime is 4146785297. The reversal of 4146785280 is 825876414.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41057230 + ... + 41057330.

Almost surely, 2^4146785280 is an apocalyptic number.

4146785280 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 4146785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215626312).

4146785280 is an abundant number, since it is smaller than the sum of its proper divisors (12284467344).

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

4146785280 is a wasteful number, since it uses less digits than its factorization.

4146785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4146785280 is about 64395.5377336039. The cubic root of 4146785280 is about 1606.5855237759.

The spelling of 4146785280 in words is "four billion, one hundred forty-six million, seven hundred eighty-five thousand, two hundred eighty".