4061965600 has 576 divisors, whose sum is σ = 13391142912. Its totient is φ = 1165824000.

The previous prime is 4061965573. The next prime is 4061965627. The reversal of 4061965600 is 65691604.

It is an interprime number because it is at equal distance from previous prime (4061965573) and next prime (4061965627).

It is a self number, because there is not a number n which added to its sum of digits gives 4061965600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66589570 + ... + 66589630.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 2^4061965600 is an apocalyptic number.

4061965600 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 4061965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695571456).

4061965600 is an abundant number, since it is smaller than the sum of its proper divisors (9329177312).

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

4061965600 is a wasteful number, since it uses less digits than its factorization.

4061965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 4061965600 is about 63733.5516035314. The cubic root of 4061965600 is about 1595.5561063075.

The spelling of 4061965600 in words is "four billion, sixty-one million, nine hundred sixty-five thousand, six hundred".