4020561600 has 168 divisors, whose sum is σ = 14390144448. Its totient is φ = 974668800.

The previous prime is 4020561593. The next prime is 4020561617. The reversal of 4020561600 is 61650204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14727 + ... + 90873.

Almost surely, 2^4020561600 is an apocalyptic number.

4020561600 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 4020561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195072224).

4020561600 is an abundant number, since it is smaller than the sum of its proper divisors (10369582848).

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

4020561600 is a wasteful number, since it uses less digits than its factorization.

4020561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76183 (or 76168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4020561600 is about 63407.8985616145. The cubic root of 4020561600 is about 1590.1163634627.

The spelling of 4020561600 in words is "four billion, twenty million, five hundred sixty-one thousand, six hundred".