4282041900 has 72 divisors (see below), whose sum is σ = 12405612240. Its totient is φ = 1140381440.

The previous prime is 4282041899. The next prime is 4282041919. The reversal of 4282041900 is 91402824.

It is a super-2 number, since 2×4282041900² = 36671765666711220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230146 + ... + 248054.

It is an arithmetic number, because the mean of its divisors is an integer number (172300170).

Almost surely, 2^4282041900 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 4282041900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202806120).

4282041900 is an abundant number, since it is smaller than the sum of its proper divisors (8123570340).

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

4282041900 is a wasteful number, since it uses less digits than its factorization.

4282041900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18723 (or 18716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4282041900 is about 65437.3127504484. The cubic root of 4282041900 is about 1623.8664315192.

The spelling of 4282041900 in words is "four billion, two hundred eighty-two million, forty-one thousand, nine hundred".