4061746000 has 240 divisors, whose sum is σ = 10864112688. Its totient is φ = 1467648000.

The previous prime is 4061745971. The next prime is 4061746081. The reversal of 4061746000 is 6471604.

It can be written as a sum of positive squares in 24 ways, for example, as 3914754624 + 146991376 = 62568^2 + 12124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4061746000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20617902 + ... + 20618098.

Almost surely, 2^4061746000 is an apocalyptic number.

4061746000 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 4061746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432056344).

4061746000 is an abundant number, since it is smaller than the sum of its proper divisors (6802366688).

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

4061746000 is a wasteful number, since it uses less digits than its factorization.

4061746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4061746000 is about 63731.8287827989. The cubic root of 4061746000 is about 1595.5273525406.

The spelling of 4061746000 in words is "four billion, sixty-one million, seven hundred forty-six thousand".