4280661000 has 1024 divisors, whose sum is σ = 19408896000. Its totient is φ = 846720000.

The previous prime is 4280660999. The next prime is 4280661103. The reversal of 4280661000 is 1660824.

4280661000 is a `hidden beast` number, since 42 + 8 + 0 + 6 + 610 + 0 + 0 = 666.

4280661000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4280661000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60290965 + ... + 60291035.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^4280661000 is an apocalyptic number.

4280661000 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 4280661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704448000).

4280661000 is an abundant number, since it is smaller than the sum of its proper divisors (15128235000).

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

4280661000 is a wasteful number, since it uses less digits than its factorization.

4280661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4280661000 is about 65426.7605800562. The cubic root of 4280661000 is about 1623.6918545068.

The spelling of 4280661000 in words is "four billion, two hundred eighty million, six hundred sixty-one thousand".