4146280380 has 576 divisors, whose sum is σ = 15444172800. Its totient is φ = 919987200.

The previous prime is 4146280373. The next prime is 4146280393. The reversal of 4146280380 is 830826414.

4146280380 is a `hidden beast` number, since 41 + 462 + 80 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46587376 + ... + 46587464.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 2^4146280380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146280380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4146280380 is an abundant number, since it is smaller than the sum of its proper divisors (11297892420).

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

4146280380 is a wasteful number, since it uses less digits than its factorization.

4146280380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4146280380 is about 64391.6173115725. The cubic root of 4146280380 is about 1606.5203168023.

The spelling of 4146280380 in words is "four billion, one hundred forty-six million, two hundred eighty thousand, three hundred eighty".