4200933456 has 120 divisors (see below), whose sum is σ = 12258215424. Its totient is φ = 1392733440.

The previous prime is 4200933449. The next prime is 4200933511. The reversal of 4200933456 is 6543390024.

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 4200933456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739780 + ... + 745436.

Almost surely, 2^4200933456 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 4200933456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129107712).

4200933456 is an abundant number, since it is smaller than the sum of its proper divisors (8057281968).

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

4200933456 is a wasteful number, since it uses less digits than its factorization.

4200933456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5871 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4200933456 is about 64814.6083533643. The cubic root of 4200933456 is about 1613.5481661110.

The spelling of 4200933456 in words is "four billion, two hundred million, nine hundred thirty-three thousand, four hundred fifty-six".