4200408576 has 720 divisors, whose sum is σ = 16046254224. Its totient is φ = 1086898176.

The previous prime is 4200408571. The next prime is 4200408623. The reversal of 4200408576 is 6758040024.

4200408576 is a `hidden beast` number, since 42 + 0 + 0 + 40 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4200408576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200408571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252966 + ... + 79253018.

Almost surely, 2^4200408576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023127112).

4200408576 is an abundant number, since it is smaller than the sum of its proper divisors (11845845648).

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

4200408576 is an equidigital number, since it uses as much as digits as its factorization.

4200408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4200408576 is about 64810.5591396957. The cubic root of 4200408576 is about 1613.4809624410.

The spelling of 4200408576 in words is "four billion, two hundred million, four hundred eight thousand, five hundred seventy-six".