4056009600 has 384 divisors, whose sum is σ = 14650178400. Its totient is φ = 981729280.

The previous prime is 4056009593. The next prime is 4056009613. The reversal of 4056009600 is 69006504.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 4732372 + ... + 4733228.

Almost surely, 2^4056009600 is an apocalyptic number.

4056009600 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 4056009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325089200).

4056009600 is an abundant number, since it is smaller than the sum of its proper divisors (10594168800).

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

4056009600 is a wasteful number, since it uses less digits than its factorization.

4056009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4056009600 is about 63686.8086812332. The cubic root of 4056009600 is about 1594.7758780748.

It can be divided in two parts, 405600 and 9600, that multiplied together give a square (3893760000 = 62400²).

The spelling of 4056009600 in words is "four billion, fifty-six million, nine thousand, six hundred".